diff --git a/bench_ablation/unified.json b/bench_ablation/unified.json
index 4259343708be92f598eb1a783abe369956269931..bd6970ceb0ba4a828cccfdf9af4a8028ef6d1c8c 100644
--- a/bench_ablation/unified.json
+++ b/bench_ablation/unified.json
@@ -1,9 +1,93 @@
 [
+  {
+    "case": "at_rest/0",
+    "track": "perception_graphic",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/at_rest/0/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "at_rest/0",
+    "track": "comprehension_text",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) ΣF = m·Δv / (Δt·cosθ)\n  B) ΣF_ext = 0\n  C) T = 2π·√(m/k)\n  D) F_drag = (1/2)·C_d·ρ·A·v²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/at_rest/0/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "at_rest/0",
+    "track": "comprehension_graphic",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/at_rest/0/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "at_rest/0",
+    "track": "generation",
+    "prompt_idx": 0,
+    "time_point": 0.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/0/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "at_rest/0",
+    "track": "generation",
+    "prompt_idx": 1,
+    "time_point": 1.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/0/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "at_rest/0",
+    "track": "generation",
+    "prompt_idx": 2,
+    "time_point": 1.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/0/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "at_rest/0",
+    "track": "generation",
+    "prompt_idx": 3,
+    "time_point": 2.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/0/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "at_rest/0",
+    "track": "generation",
+    "prompt_idx": 4,
+    "time_point": 2.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/0/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "at_rest/0",
+    "track": "generation",
+    "prompt_idx": 5,
+    "time_point": 3.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/0/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
   {
     "case": "at_rest/2",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -11,7 +95,7 @@
     "case": "at_rest/2",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) n_1·sinθ_1 = n_2·sinθ_2\n  B) ΣF_ext = 0\n  C) G = m·g\n  D) τ_net = Σ(F_i·r_i·sinθ_i) · e^(-μ·t)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -19,7 +103,7 @@
     "case": "at_rest/2",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -29,7 +113,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -39,7 +123,7 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -49,7 +133,7 @@
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -59,7 +143,7 @@
     "prompt_idx": 3,
     "time_point": 2.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -69,7 +153,7 @@
     "prompt_idx": 4,
     "time_point": 2.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -79,7 +163,7 @@
     "prompt_idx": 5,
     "time_point": 3.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -89,7 +173,7 @@
     "prompt_idx": 6,
     "time_point": 3.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -99,7 +183,7 @@
     "prompt_idx": 7,
     "time_point": 4.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -109,7 +193,7 @@
     "prompt_idx": 8,
     "time_point": 4.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -119,1421 +203,1395 @@
     "prompt_idx": 9,
     "time_point": 5.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/3",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/3",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) W = ΔE_k = (1/2)·m·v_t² - (1/2)·m·v_0²\n  B) I = V / R\n  C) ΣF = m·Δv / (Δt·cosθ)\n  D) ΣM_ext = 0\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) G = m·g\n  B) ΣF = m·Δv / (Δt·cosθ)\n  C) ΣF_ext = 0\n  D) U = -G·m_1·m_2 / r\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/3",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/3",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/3",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/3",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/3",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/3",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/3",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/3",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/3",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/3",
     "track": "generation",
     "prompt_idx": 8,
     "time_point": 4.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/3",
     "track": "generation",
     "prompt_idx": 9,
     "time_point": 5.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/7",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/7",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) ΣF = m·Δv / (Δt·cosθ)\n  B) ΣF_ext = 0\n  C) W = ΔE_k = (1/2)·m·v_t² - (1/2)·m·v_0²\n  D) U = -G·m_1·m_2 / r\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) ΣF_ext = 0\n  B) τ_net = Σ(F_i·r_i·sinθ_i) · e^(-μ·t)\n  C) T = 2π·√(m/k)\n  D) G = m·g\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/7",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 0.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/7",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/7",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/7",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/7",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/7",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/7",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/7",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/7",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/7",
     "track": "generation",
     "prompt_idx": 8,
     "time_point": 4.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/7",
     "track": "generation",
     "prompt_idx": 9,
     "time_point": 5.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "at_rest/8",
+    "track": "perception_graphic",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "at_rest/8",
+    "track": "comprehension_text",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) W = ΔE_k = (1/2)·m·v_t² - (1/2)·m·v_0²\n  B) I = V / R\n  C) ΣF = m·Δv / (Δt·cosθ)\n  D) ΣM_ext = 0\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "at_rest/8",
+    "track": "comprehension_graphic",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/8",
     "track": "generation",
-    "prompt_idx": 10,
-    "time_point": 5.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "prompt_idx": 0,
+    "time_point": 0.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/8",
     "track": "generation",
-    "prompt_idx": 11,
-    "time_point": 6.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "prompt_idx": 1,
+    "time_point": 1.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/8",
     "track": "generation",
-    "prompt_idx": 12,
-    "time_point": 6.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "prompt_idx": 2,
+    "time_point": 1.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/8",
     "track": "generation",
-    "prompt_idx": 13,
-    "time_point": 7.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "prompt_idx": 3,
+    "time_point": 2.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/8",
     "track": "generation",
-    "prompt_idx": 14,
-    "time_point": 7.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "prompt_idx": 4,
+    "time_point": 2.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/8",
     "track": "generation",
-    "prompt_idx": 15,
-    "time_point": 8.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "prompt_idx": 5,
+    "time_point": 3.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/8",
     "track": "generation",
-    "prompt_idx": 16,
-    "time_point": 8.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "prompt_idx": 6,
+    "time_point": 3.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/8",
     "track": "generation",
-    "prompt_idx": 17,
-    "time_point": 9.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "prompt_idx": 7,
+    "time_point": 4.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/8",
     "track": "generation",
-    "prompt_idx": 18,
-    "time_point": 9.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 9.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "prompt_idx": 8,
+    "time_point": 4.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/8",
     "track": "generation",
-    "prompt_idx": 19,
-    "time_point": 10.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 10.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "prompt_idx": 9,
+    "time_point": 5.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) G = m·g\n  B) ΔS = Q_rev / T\n  C) ΣM_ext = 0\n  D) ΣM_ext = F·r·cos²θ / (1 + sinθ)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) a_c = v²·cosθ / (R·sinθ)\n  B) PV = nRT\n  C) F = (3/4)·E*·√(R·d³)\n  D) (1/2)·m·v_0² + m·g·R·(1-cosθ_start) = (1/2)·m·v² + m·g·R·(1-cosθ)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 2.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 8,
     "time_point": 4.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 9,
     "time_point": 5.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 10,
     "time_point": 5.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 11,
     "time_point": 6.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 12,
     "time_point": 6.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 13,
     "time_point": 7.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 14,
     "time_point": 7.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 15,
     "time_point": 8.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 16,
     "time_point": 8.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 17,
     "time_point": 9.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 18,
     "time_point": 9.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 9.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 9.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "circular/0",
     "track": "generation",
     "prompt_idx": 19,
     "time_point": 10.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 10.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 10.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) ΣM_ext = F·r·cos²θ / (1 + sinθ)\n  B) ΔS = Q_rev / T\n  C) W = ΔE_k = (1/2)·m·v_t² - (1/2)·m·v_0²\n  D) ΣM_ext = 0\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) C = Q / V\n  B) (1/2)·m·v_0² + m·g·R·(1-cosθ_start) = (1/2)·m·v² + m·g·R·(1-cosθ)\n  C) e = (v_2f - v_1f) / (v_1i - v_2i)\n  D) F_N = m·g·(cosθ - 2) + m·v²/R\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 8,
     "time_point": 4.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 9,
     "time_point": 5.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 10,
     "time_point": 5.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 11,
     "time_point": 6.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 12,
     "time_point": 6.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 13,
     "time_point": 7.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 14,
     "time_point": 7.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 15,
     "time_point": 8.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 16,
     "time_point": 8.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 17,
     "time_point": 9.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 18,
     "time_point": 9.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 9.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 9.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "circular/2",
     "track": "generation",
     "prompt_idx": 19,
     "time_point": 10.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate what the scene looks like at t = 10.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 10.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/2",
+    "case": "circular/6",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/circular_newbatch/2/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 0.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 0.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/circular/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/2",
+    "case": "circular/6",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) F_N - m·g·cosθ = m·v²/R\n  B) e = (v_2f - v_1f) / (v_1i - v_2i)\n  C) ΔS = Q_rev / T\n  D) ω = √(g·cosθ / R) · (1 + sinθ)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/circular_newbatch/2/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 0.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 0.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) PV = nRT\n  B) e = (v_2f - v_1f) / (v_1i - v_2i)\n  C) F_N = m·g·(cosθ - 2) + m·v²/R\n  D) F_N - m·g·cosθ = m·v²/R\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/circular/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/2",
+    "case": "circular/6",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/circular_newbatch/2/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 0.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 0.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/circular/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/2",
+    "case": "circular/6",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/2/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 0.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 0.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/2",
+    "case": "circular/6",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/2/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 0.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 0.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/2",
+    "case": "circular/6",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/2/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "circular_newbatch/2",
-    "track": "generation",
-    "prompt_idx": 3,
-    "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/2/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 0.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 0.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular/7",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 5.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/circular/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular/7",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) E_total = m·g·R·(3/2 - cosθ)²\n  B) (1/2)·m·v_0² + m·g·R·(1-cosθ_start) = (1/2)·m·v² + m·g·R·(1-cosθ)\n  C) λ = h/(m·v)\n  D) F_drag =(1/2)·C_d·ρ·A·v²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 5.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) (1/2)·m·v_0² + m·g·R·(1-cosθ_start) = (1/2)·m·v² + m·g·R·(1-cosθ)\n  B) F = (3/4)·E*·√(R·d³)\n  C) F_N = m·g·(cosθ - 2) + m·v²/R\n  D) v = f·λ\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/circular/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular/7",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 5.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/circular/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular/7",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 5.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular/7",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 5.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular/7",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 5.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular_newbatch/14",
+    "track": "perception_graphic",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/circular_newbatch/14/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "circular_newbatch/14",
+    "track": "comprehension_text",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) ΔS = Q_rev / T\n  B) F_N - m·g·cosθ = m·v²/R\n  C) f_s ≤ μ_s·F_N\n  D) a_c = v²·cosθ / (R·sinθ)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/circular_newbatch/14/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "circular_newbatch/14",
+    "track": "comprehension_graphic",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/circular_newbatch/14/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "circular_newbatch/14",
     "track": "generation",
-    "prompt_idx": 3,
-    "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt_idx": 0,
+    "time_point": 0.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/14/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular_newbatch/14",
     "track": "generation",
-    "prompt_idx": 4,
-    "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt_idx": 1,
+    "time_point": 1.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/14/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular_newbatch/14",
     "track": "generation",
-    "prompt_idx": 5,
-    "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt_idx": 2,
+    "time_point": 1.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/14/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular_newbatch/14",
     "track": "generation",
-    "prompt_idx": 6,
-    "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt_idx": 3,
+    "time_point": 2.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/14/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular_newbatch/14",
     "track": "generation",
-    "prompt_idx": 7,
-    "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt_idx": 4,
+    "time_point": 2.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/14/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular_newbatch/14",
     "track": "generation",
-    "prompt_idx": 8,
-    "time_point": 4.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt_idx": 5,
+    "time_point": 3.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/14/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular_newbatch/5",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular_newbatch/5",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) v² = g·R·(2 - 3·cosθ) / (1 + sinθ)\n  B) f_k = μ_k·F_N\n  C) ΔE = -13.6·(1/n_f² - 1/n_i²) eV\n  D) (1/2)·m·v_0² + m·g·R·(1-cosθ_start) = (1/2)·m·v² + m·g·R·(1-cosθ)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) ω = √(g·cosθ / R) · (1 + sinθ)\n  B) e = (v_2f - v_1f) / (v_1i - v_2i)\n  C) Q = m·c·ΔT\n  D) F_N - m·g·cosθ = m·v²/R\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular_newbatch/5",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular_newbatch/5",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular_newbatch/5",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular_newbatch/5",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular_newbatch/5",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular_newbatch/5",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular_newbatch/5",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular_newbatch/5",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular_newbatch/5",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular_newbatch/5",
     "track": "generation",
     "prompt_idx": 8,
     "time_point": 4.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular_newbatch/5",
     "track": "generation",
     "prompt_idx": 9,
     "time_point": 5.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
-    "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
+    "case": "circular_newbatch/5",
+    "track": "generation",
+    "prompt_idx": 10,
+    "time_point": 5.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
-    "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) F_drag =(1/2)·C_d·ρ·A·v²\n  B) E_total = m·g·R·(3/2 - cosθ)²\n  C) ΔS = Q_rev / T\n  D) (1/2)·m·v_0² + m·g·R·(1-cosθ_start) = (1/2)·m·v² + m·g·R·(1-cosθ)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
-    "duration": 1,
-    "size": "1280x720"
+    "case": "circular_newbatch/5",
+    "track": "generation",
+    "prompt_idx": 11,
+    "time_point": 6.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
-    "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
+    "case": "circular_newbatch/5",
+    "track": "generation",
+    "prompt_idx": 12,
+    "time_point": 6.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
+    "case": "circular_newbatch/5",
     "track": "generation",
-    "prompt_idx": 0,
-    "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
+    "prompt_idx": 13,
+    "time_point": 7.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
+    "case": "circular_newbatch/5",
     "track": "generation",
-    "prompt_idx": 1,
-    "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
+    "prompt_idx": 14,
+    "time_point": 7.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
+    "case": "circular_newbatch/5",
     "track": "generation",
-    "prompt_idx": 2,
-    "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
+    "prompt_idx": 15,
+    "time_point": 8.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
+    "case": "circular_newbatch/5",
     "track": "generation",
-    "prompt_idx": 3,
-    "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
+    "prompt_idx": 16,
+    "time_point": 8.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
+    "case": "circular_newbatch/5",
     "track": "generation",
-    "prompt_idx": 4,
-    "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
+    "prompt_idx": 17,
+    "time_point": 9.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
+    "case": "circular_newbatch/5",
     "track": "generation",
-    "prompt_idx": 5,
-    "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
+    "prompt_idx": 18,
+    "time_point": 9.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 9.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
+    "case": "circular_newbatch/5",
     "track": "generation",
-    "prompt_idx": 6,
-    "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
+    "prompt_idx": 19,
+    "time_point": 10.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 10.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/12",
+    "case": "freefall/0",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/freefall/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/12",
+    "case": "freefall/0",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) F_N - m·g·cosθ = m·v²/R\n  B) E_total = m·g·R·(3/2 - cosθ)²\n  C) e = (v_2f - v_1f) / (v_1i - v_2i)\n  D) B = μ_0·n·I\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) n_1·sinθ_1 = n_2·sinθ_2\n  B) y(t) = h + v_0·t + (1/2)·g·t²\n  C) F_fall = m·g·(1 + v/c) / √(1 - v²/c²)\n  D) P + (1/2)·ρ·v² + ρ·g·h = constant\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/freefall/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/12",
+    "case": "freefall/0",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nPredict the physical state at t = 0.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/freefall/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/12",
+    "case": "freefall/0",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/freefall/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/12",
+    "case": "freefall/0",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "circular_newbatch/12",
-    "track": "generation",
-    "prompt_idx": 2,
-    "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "circular_newbatch/12",
-    "track": "generation",
-    "prompt_idx": 3,
-    "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "circular_newbatch/12",
-    "track": "generation",
-    "prompt_idx": 4,
-    "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "circular_newbatch/12",
-    "track": "generation",
-    "prompt_idx": 5,
-    "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "circular_newbatch/12",
-    "track": "generation",
-    "prompt_idx": 6,
-    "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/freefall/0/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/14",
+    "case": "freefall/4",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/circular_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/freefall/4/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/14",
+    "case": "freefall/4",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) ΔS = Q_rev / T\n  B) F_N - m·g·cosθ = m·v²/R\n  C) f_s ≤ μ_s·F_N\n  D) a_c = v²·cosθ / (R·sinθ)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/circular_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) Q = m·c·ΔT\n  B) I = (1/10)·m·d²\n  C) F_fall = m·g·(1 + v/c) / √(1 - v²/c²)\n  D) y(t) = h + v_0·t + (1/2)·g·t²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/freefall/4/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/14",
+    "case": "freefall/4",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/circular_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nPredict the physical state at t = 1.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/freefall/4/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/14",
+    "case": "freefall/4",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/freefall/4/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/14",
+    "case": "freefall/4",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/freefall/4/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/14",
+    "case": "freefall/4",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/14/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "circular_newbatch/14",
-    "track": "generation",
-    "prompt_idx": 3,
-    "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/14/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "circular_newbatch/14",
-    "track": "generation",
-    "prompt_idx": 4,
-    "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/freefall/4/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/14",
-    "track": "generation",
-    "prompt_idx": 5,
-    "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/circular_newbatch/14/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "freefall/0",
+    "case": "freefall/5",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/freefall/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = -0.5\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/freefall/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall/0",
+    "case": "freefall/5",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) n_1·sinθ_1 = n_2·sinθ_2\n  B) y(t) = h + v_0·t + (1/2)·g·t²\n  C) F_fall = m·g·(1 + v/c) / √(1 - v²/c²)\n  D) P + (1/2)·ρ·v² + ρ·g·h = constant\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/freefall/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = -0.5\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) v = v_0·cos(g·t / v_0)\n  B) ΔS = Q_rev / T\n  C) I = (1/10)·m·d²\n  D) y(t) = h + v_0·t + (1/2)·g·t²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/freefall/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall/0",
+    "case": "freefall/5",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nPredict the physical state at t = 0.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/freefall/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = -0.5\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nPredict the physical state at t = 1.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/freefall/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall/0",
+    "case": "freefall/5",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = -0.5\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/freefall/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall/0",
+    "case": "freefall/5",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = -0.5\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/freefall/5/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "freefall/5",
+    "track": "generation",
+    "prompt_idx": 2,
+    "time_point": 1.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = -0.5\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/freefall/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1541,7 +1599,7 @@
     "case": "freefall/6",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/freefall/6/0000.png",
+    "image": "firstframe/freefall/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1549,7 +1607,7 @@
     "case": "freefall/6",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) v_final = -e·v_impact\n  B) F_fall = m·g·(1 + v/c) / √(1 - v²/c²)\n  C) y(t) = h + v_0·t + (1/2)·g·t²\n  D) n_1·sinθ_1 = n_2·sinθ_2\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/freefall/6/0000.png",
+    "image": "firstframe/freefall/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1557,7 +1615,7 @@
     "case": "freefall/6",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nPredict the physical state at t = 1.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/freefall/6/0000.png",
+    "image": "firstframe/freefall/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1567,7 +1625,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall/6/0000.png",
+    "image": "firstframe/freefall/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1577,7 +1635,7 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall/6/0000.png",
+    "image": "firstframe/freefall/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1587,7 +1645,7 @@
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall/6/0000.png",
+    "image": "firstframe/freefall/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1595,7 +1653,7 @@
     "case": "freefall/8",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/freefall/8/0000.png",
+    "image": "firstframe/freefall/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1603,7 +1661,7 @@
     "case": "freefall/8",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) F_fall = m·g·(1 + v/c) / √(1 - v²/c²)\n  B) v = v_0 + g·t\n  C) Q = m·c·ΔT\n  D) P + (1/2)·ρ·v² + ρ·g·h = constant\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/freefall/8/0000.png",
+    "image": "firstframe/freefall/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1611,7 +1669,7 @@
     "case": "freefall/8",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nPredict the physical state at t = 2.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/freefall/8/0000.png",
+    "image": "firstframe/freefall/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1621,7 +1679,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall/8/0000.png",
+    "image": "firstframe/freefall/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1631,7 +1689,7 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall/8/0000.png",
+    "image": "firstframe/freefall/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1641,7 +1699,7 @@
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall/8/0000.png",
+    "image": "firstframe/freefall/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1651,7 +1709,7 @@
     "prompt_idx": 3,
     "time_point": 2.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall/8/0000.png",
+    "image": "firstframe/freefall/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -1661,513 +1719,683 @@
     "prompt_idx": 4,
     "time_point": 2.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall/8/0000.png",
+    "image": "firstframe/freefall/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/3",
+    "case": "freefall_newbatch/4",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nBronzeAntiqueSphere: d = 1.2, e = 0.45, h = 12.0, v_0 = -1.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/freefall_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/freefall_newbatch/4/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/3",
+    "case": "freefall_newbatch/4",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nBronzeAntiqueSphere: d = 1.2, e = 0.45, h = 12.0, v_0 = -1.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) y(t) = h + v_0·t + (1/2)·g·t²\n  B) F·Δt = m·v_f - m·v_i\n  C) τ = r × F\n  D) y(t) = h·(1 - e^(-g·t²/2))\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/freefall_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) y(t) = h·(1 - e^(-g·t²/2))\n  B) v = f·λ\n  C) v_final = -e·v_impact\n  D) y(t) = h + v_0·t + (1/2)·g·t²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/freefall_newbatch/4/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/3",
+    "case": "freefall_newbatch/4",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nBronzeAntiqueSphere: d = 1.2, e = 0.45, h = 12.0, v_0 = -1.0\n\nPredict the physical state at t = 3.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 3.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/freefall_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nPredict the physical state at t = 1.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/freefall_newbatch/4/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/3",
+    "case": "freefall_newbatch/4",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nBronzeAntiqueSphere: d = 1.2, e = 0.45, h = 12.0, v_0 = -1.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/freefall_newbatch/4/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/3",
+    "case": "freefall_newbatch/4",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nBronzeAntiqueSphere: d = 1.2, e = 0.45, h = 12.0, v_0 = -1.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/freefall_newbatch/4/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/3",
+    "case": "freefall_newbatch/4",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nBronzeAntiqueSphere: d = 1.2, e = 0.45, h = 12.0, v_0 = -1.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/freefall_newbatch/4/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/3",
-    "track": "generation",
-    "prompt_idx": 3,
-    "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nBronzeAntiqueSphere: d = 1.2, e = 0.45, h = 12.0, v_0 = -1.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/3/0000.png",
+    "case": "inclined_plane/1",
+    "track": "perception_graphic",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inclined_plane/1/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inclined_plane/1",
+    "track": "comprehension_text",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) v² = v_0² + 2·a_slope·s\n  B) ΔS = Q_rev / T\n  C) E_p = m·g·(H - h)\n  D) s = v_0·t·cosθ + (1/2)·g·sinθ·t²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/inclined_plane/1/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inclined_plane/1",
+    "track": "comprehension_graphic",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/inclined_plane/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/3",
+    "case": "inclined_plane/1",
     "track": "generation",
-    "prompt_idx": 4,
-    "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nBronzeAntiqueSphere: d = 1.2, e = 0.45, h = 12.0, v_0 = -1.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/3/0000.png",
+    "prompt_idx": 0,
+    "time_point": 0.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inclined_plane/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/3",
+    "case": "inclined_plane/1",
     "track": "generation",
-    "prompt_idx": 5,
-    "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nBronzeAntiqueSphere: d = 1.2, e = 0.45, h = 12.0, v_0 = -1.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/3/0000.png",
+    "prompt_idx": 1,
+    "time_point": 1.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inclined_plane/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/4",
+    "case": "inclined_plane/2",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/freefall_newbatch/4/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inclined_plane/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/4",
+    "case": "inclined_plane/2",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) y(t) = h·(1 - e^(-g·t²/2))\n  B) v = f·λ\n  C) v_final = -e·v_impact\n  D) y(t) = h + v_0·t + (1/2)·g·t²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/freefall_newbatch/4/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) N = m·g·(cosθ - μ_k·sinθ)²\n  B) Q = m·c·ΔT\n  C) E_p = m·g·(H - h)\n  D) v² = v_0² + 2·a_slope·s\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/inclined_plane/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/4",
+    "case": "inclined_plane/2",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nPredict the physical state at t = 1.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/freefall_newbatch/4/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/inclined_plane/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/4",
+    "case": "inclined_plane/2",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/4/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inclined_plane/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/4",
+    "case": "inclined_plane/2",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/4/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "freefall_newbatch/4",
-    "track": "generation",
-    "prompt_idx": 2,
-    "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/4/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inclined_plane/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/8",
+    "case": "inclined_plane/3",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nWalnutCube: a = 1.8, e = 0.5, h = 10.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/freefall_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 6.96, v_0 = -2.0\nRamp_0: theta = 60°, H = 8.0, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inclined_plane/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/8",
+    "case": "inclined_plane/3",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nWalnutCube: a = 1.8, e = 0.5, h = 10.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) v_impact = √(g·h) · (1 + μ·t)\n  B) F = k·q_1·q_2 / r²\n  C) I = (1/10)·m·d²\n  D) y(t) = h + v_0·t + (1/2)·g·t²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/freefall_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 6.96, v_0 = -2.0\nRamp_0: theta = 60°, H = 8.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) U = -G·m_1·m_2 / r\n  B) a_slope = g·(sinθ - μ_k·cosθ)\n  C) E_p = m·g·(H - h)\n  D) F_net = m·g·(sin²θ - μ_k·cos²θ) / sinθ\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/inclined_plane/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/8",
+    "case": "inclined_plane/3",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nWalnutCube: a = 1.8, e = 0.5, h = 10.0, v_0 = 0.0\n\nPredict the physical state at t = 3.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 3.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/freefall_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 6.96, v_0 = -2.0\nRamp_0: theta = 60°, H = 8.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/inclined_plane/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/8",
+    "case": "inclined_plane/3",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nWalnutCube: a = 1.8, e = 0.5, h = 10.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 6.96, v_0 = -2.0\nRamp_0: theta = 60°, H = 8.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inclined_plane/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/8",
+    "case": "inclined_plane/3",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nWalnutCube: a = 1.8, e = 0.5, h = 10.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 6.96, v_0 = -2.0\nRamp_0: theta = 60°, H = 8.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inclined_plane/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/8",
+    "case": "inclined_plane/3",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nWalnutCube: a = 1.8, e = 0.5, h = 10.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 6.96, v_0 = -2.0\nRamp_0: theta = 60°, H = 8.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inclined_plane/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/8",
-    "track": "generation",
-    "prompt_idx": 3,
-    "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nWalnutCube: a = 1.8, e = 0.5, h = 10.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/8/0000.png",
+    "case": "inclined_plane/7",
+    "track": "perception_graphic",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inclined_plane/7/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inclined_plane/7",
+    "track": "comprehension_text",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) T = 2π·√(L/g)\n  B) v² = v_0² + 2·a_slope·s\n  C) h_cm·sinθ > (a/2)·cosθ\n  D) N = m·g·(cosθ - μ_k·sinθ)²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/inclined_plane/7/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inclined_plane/7",
+    "track": "comprehension_graphic",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/inclined_plane/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/8",
+    "case": "inclined_plane/7",
     "track": "generation",
-    "prompt_idx": 4,
-    "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nWalnutCube: a = 1.8, e = 0.5, h = 10.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/8/0000.png",
+    "prompt_idx": 0,
+    "time_point": 0.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inclined_plane/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/8",
+    "case": "inclined_plane/7",
     "track": "generation",
-    "prompt_idx": 5,
-    "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nWalnutCube: a = 1.8, e = 0.5, h = 10.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/freefall_newbatch/8/0000.png",
+    "prompt_idx": 1,
+    "time_point": 1.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inclined_plane/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/1",
+    "case": "inclined_plane_newbatch/1",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inclined_plane/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inclined_plane_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/1",
+    "case": "inclined_plane_newbatch/1",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) v² = v_0² + 2·a_slope·s\n  B) ΔS = Q_rev / T\n  C) E_p = m·g·(H - h)\n  D) s = v_0·t·cosθ + (1/2)·g·sinθ·t²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/inclined_plane/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) s = v_0·t·cosθ + (1/2)·g·sinθ·t²\n  B) f_k = μ_k·m·g\n  C) T = 2π·√(L/g)\n  D) v² = v_0² + 2·a_slope·s\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/inclined_plane_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/1",
+    "case": "inclined_plane_newbatch/1",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/inclined_plane/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/inclined_plane_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/1",
+    "case": "inclined_plane_newbatch/1",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inclined_plane_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/1",
+    "case": "inclined_plane_newbatch/1",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inclined_plane_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/2",
+    "case": "inclined_plane_newbatch/8",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inclined_plane/2/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 2.69, v_0 = 0.3\nStoneBlackCube: a = 1.0, h = 3.19, v_0 = -1.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inclined_plane_newbatch/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/2",
+    "case": "inclined_plane_newbatch/8",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) N = m·g·(cosθ - μ_k·sinθ)²\n  B) Q = m·c·ΔT\n  C) E_p = m·g·(H - h)\n  D) v² = v_0² + 2·a_slope·s\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/inclined_plane/2/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 2.69, v_0 = 0.3\nStoneBlackCube: a = 1.0, h = 3.19, v_0 = -1.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) N = m·g·(cosθ - μ_k·sinθ)²\n  B) v² = v_0² + 2·a_slope·s\n  C) U = -G·m_1·m_2 / r\n  D) h_cm·sinθ > (a/2)·cosθ\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/inclined_plane_newbatch/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/2",
+    "case": "inclined_plane_newbatch/8",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/inclined_plane/2/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 2.69, v_0 = 0.3\nStoneBlackCube: a = 1.0, h = 3.19, v_0 = -1.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/inclined_plane_newbatch/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/2",
+    "case": "inclined_plane_newbatch/8",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane/2/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 2.69, v_0 = 0.3\nStoneBlackCube: a = 1.0, h = 3.19, v_0 = -1.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inclined_plane_newbatch/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/2",
+    "case": "inclined_plane_newbatch/8",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane/2/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 2.69, v_0 = 0.3\nStoneBlackCube: a = 1.0, h = 3.19, v_0 = -1.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inclined_plane_newbatch/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/7",
+    "case": "inelastic_collision/1",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inclined_plane/7/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/7",
+    "case": "inelastic_collision/1",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) T = 2π·√(L/g)\n  B) v² = v_0² + 2·a_slope·s\n  C) h_cm·sinθ > (a/2)·cosθ\n  D) N = m·g·(cosθ - μ_k·sinθ)²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/inclined_plane/7/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) U = -G·m_1·m_2 / r\n  B) e = (v_2f - v_1f) / (v_1i - v_2i)\n  C) ΔE_loss = (1/2)·e²·(m_1·m_2)/(m_1+m_2)·(v_1i + v_2i)²\n  D) W_f = ∫ μ_k·m·g·ds = ΔE_k\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/7",
+    "case": "inelastic_collision/1",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/inclined_plane/7/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nPredict the physical state at t = 2.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/7",
+    "case": "inelastic_collision/1",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane/7/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/7",
+    "case": "inelastic_collision/1",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane/7/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/8",
-    "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -3.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inclined_plane/8/0000.png",
+    "case": "inelastic_collision/1",
+    "track": "generation",
+    "prompt_idx": 2,
+    "time_point": 1.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/8",
-    "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -3.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) f_k = μ_k·m·g\n  B) v² = v_0² + g·sinθ·s·(1 - μ_k·tanθ)\n  C) v² = v_0² + 2·a_slope·s\n  D) F = k·q_1·q_2 / r²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/inclined_plane/8/0000.png",
+    "case": "inelastic_collision/1",
+    "track": "generation",
+    "prompt_idx": 3,
+    "time_point": 2.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/8",
-    "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -3.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/inclined_plane/8/0000.png",
+    "case": "inelastic_collision/1",
+    "track": "generation",
+    "prompt_idx": 4,
+    "time_point": 2.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/8",
+    "case": "inelastic_collision/1",
     "track": "generation",
-    "prompt_idx": 0,
-    "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -3.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane/8/0000.png",
+    "prompt_idx": 5,
+    "time_point": 3.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/8",
+    "case": "inelastic_collision/1",
     "track": "generation",
-    "prompt_idx": 1,
-    "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -3.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane/8/0000.png",
+    "prompt_idx": 6,
+    "time_point": 3.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/9",
+    "case": "inelastic_collision/1",
+    "track": "generation",
+    "prompt_idx": 7,
+    "time_point": 4.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/1",
+    "track": "generation",
+    "prompt_idx": 8,
+    "time_point": 4.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/1",
+    "track": "generation",
+    "prompt_idx": 9,
+    "time_point": 5.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/2",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = 0.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.0\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inclined_plane_newbatch/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/9",
+    "case": "inelastic_collision/2",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = 0.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.0\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) E = (1/2)·L·I²\n  B) v_t = g·d²·(ρ_p - ρ_f) / (18·η)\n  C) a_slope = g·(sinθ - μ_k·cosθ)\n  D) F_net = m·g·(sin²θ - μ_k·cos²θ) / sinθ\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/inclined_plane_newbatch/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) ΔE = (1/2)·[(m_1·m_2) / (m_1 + m_2)]·(v_1i - v_2i)²\n  B) ΔE = (1/2)·m_1·m_2·e²·(v_1i - v_2i)² / (m_1 + m_2)\n  C) F = k·q_1·q_2 / r²\n  D) e = (v_2f - v_1f) / (v_1i - v_2i)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/9",
+    "case": "inelastic_collision/2",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = 0.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.0\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/inclined_plane_newbatch/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nPredict the physical state at t = 2.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/9",
+    "case": "inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = 0.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.0\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane_newbatch/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/9",
+    "case": "inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = 0.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.0\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane_newbatch/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/9",
+    "case": "inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = 0.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.0\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane_newbatch/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/13",
-    "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nStoneBlackCube: a = 1.0, h = 3.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inclined_plane_newbatch/13/0000.png",
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 3,
+    "time_point": 2.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/13",
-    "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nStoneBlackCube: a = 1.0, h = 3.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) v_t = g·d²·(ρ_p - ρ_f) / (18·η)\n  B) ΔU = q·ΔV\n  C) a_slope = g·(sinθ + μ_k·cosθ) / (1 + sinθ)\n  D) a_slope = g·(sinθ - μ_k·cosθ)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/inclined_plane_newbatch/13/0000.png",
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 4,
+    "time_point": 2.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/13",
-    "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nStoneBlackCube: a = 1.0, h = 3.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/inclined_plane_newbatch/13/0000.png",
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 5,
+    "time_point": 3.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/13",
+    "case": "inelastic_collision/2",
     "track": "generation",
-    "prompt_idx": 0,
-    "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nStoneBlackCube: a = 1.0, h = 3.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane_newbatch/13/0000.png",
+    "prompt_idx": 6,
+    "time_point": 3.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/13",
+    "case": "inelastic_collision/2",
     "track": "generation",
-    "prompt_idx": 1,
-    "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nStoneBlackCube: a = 1.0, h = 3.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane_newbatch/13/0000.png",
+    "prompt_idx": 7,
+    "time_point": 4.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/13",
+    "case": "inelastic_collision/2",
     "track": "generation",
-    "prompt_idx": 2,
-    "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nStoneBlackCube: a = 1.0, h = 3.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inclined_plane_newbatch/13/0000.png",
+    "prompt_idx": 8,
+    "time_point": 4.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 9,
+    "time_point": 5.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 10,
+    "time_point": 5.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 11,
+    "time_point": 6.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 12,
+    "time_point": 6.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 13,
+    "time_point": 7.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 14,
+    "time_point": 7.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 15,
+    "time_point": 8.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 16,
+    "time_point": 8.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 17,
+    "time_point": 9.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 18,
+    "time_point": 9.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 9.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 19,
+    "time_point": 10.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 10.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2175,7 +2403,7 @@
     "case": "inelastic_collision/3",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2183,7 +2411,7 @@
     "case": "inelastic_collision/3",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) v_1f = (m_1 - e·m_2)·v_1i / (m_1 + m_2) + v_2i·cosθ\n  B) σ = F/a² = E·ε\n  C) E = h·f\n  D) e = (v_2f - v_1f) / (v_1i - v_2i)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2191,7 +2419,7 @@
     "case": "inelastic_collision/3",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nPredict the physical state at t = 2.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2201,7 +2429,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2211,7 +2439,7 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2221,7 +2449,7 @@
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2231,7 +2459,7 @@
     "prompt_idx": 3,
     "time_point": 2.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2241,7 +2469,7 @@
     "prompt_idx": 4,
     "time_point": 2.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2251,7 +2479,7 @@
     "prompt_idx": 5,
     "time_point": 3.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2261,7 +2489,7 @@
     "prompt_idx": 6,
     "time_point": 3.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2271,7 +2499,7 @@
     "prompt_idx": 7,
     "time_point": 4.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2281,7 +2509,7 @@
     "prompt_idx": 8,
     "time_point": 4.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2291,7 +2519,7 @@
     "prompt_idx": 9,
     "time_point": 5.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2299,7 +2527,7 @@
     "case": "inelastic_collision/6",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inelastic_collision/6/0000.png",
+    "image": "firstframe/inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2307,7 +2535,7 @@
     "case": "inelastic_collision/6",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n  B) v_cm = (m_1·v_1i² + m_2·v_2i²) / (m_1·v_1i + m_2·v_2i)\n  C) σ = F/a² = E·ε\n  D) T = 2π·√(m/k)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/inelastic_collision/6/0000.png",
+    "image": "firstframe/inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2315,7 +2543,7 @@
     "case": "inelastic_collision/6",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nPredict the physical state at t = 2.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/inelastic_collision/6/0000.png",
+    "image": "firstframe/inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2325,7 +2553,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/6/0000.png",
+    "image": "firstframe/inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2335,7 +2563,7 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/6/0000.png",
+    "image": "firstframe/inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2345,7 +2573,7 @@
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/6/0000.png",
+    "image": "firstframe/inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2355,7 +2583,7 @@
     "prompt_idx": 3,
     "time_point": 2.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/6/0000.png",
+    "image": "firstframe/inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2365,7 +2593,7 @@
     "prompt_idx": 4,
     "time_point": 2.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/6/0000.png",
+    "image": "firstframe/inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2375,503 +2603,479 @@
     "prompt_idx": 5,
     "time_point": 3.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision/6/0000.png",
+    "image": "firstframe/inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/9",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/9",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) e = 1 - ΔE / (m_1·v_1i² + m_2·v_2i²)\n  B) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n  C) E_rot = (1/2)·(1/6·m·a²)·ω²\n  D) PV = nRT\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) σ = F/a² = E·ε\n  B) e = (v_2f - v_1f) / (v_1i - v_2i)\n  C) J = m_1·m_2·(v_1i - v_2i)·(1+e) / (m_1 + m_2) · sinθ\n  D) v = f·λ\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/9",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nPredict the physical state at t = 2.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nPredict the physical state at t = 4.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 4.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/9",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/9",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/9",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/9",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/9",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/9",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/9",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/9",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "inelastic_collision_newbatch/0",
-    "track": "generation",
-    "prompt_idx": 8,
-    "time_point": 4.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "inelastic_collision_newbatch/0",
-    "track": "generation",
-    "prompt_idx": 9,
-    "time_point": 5.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "inelastic_collision_newbatch/0",
-    "track": "generation",
-    "prompt_idx": 10,
-    "time_point": 5.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "inelastic_collision_newbatch/0",
-    "track": "generation",
-    "prompt_idx": 11,
-    "time_point": 6.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "inelastic_collision_newbatch/2",
-    "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 2.0\nRightTireCube: a = 2.0, e = 0.6, m = 9600.0, v_0 = 2.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inelastic_collision_newbatch/2/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "inelastic_collision_newbatch/2",
-    "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 2.0\nRightTireCube: a = 2.0, e = 0.6, m = 9600.0, v_0 = 2.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) F = k·q_1·q_2 / r²\n  B) e = 1 - ΔE / (m_1·v_1i² + m_2·v_2i²)\n  C) W_f = ∫ μ_k·m·g·ds = ΔE_k\n  D) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/inelastic_collision_newbatch/2/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "inelastic_collision_newbatch/2",
-    "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 2.0\nRightTireCube: a = 2.0, e = 0.6, m = 9600.0, v_0 = 2.0\n\nPredict the physical state at t = 1.75 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/inelastic_collision_newbatch/2/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/2",
+    "case": "inelastic_collision/9",
     "track": "generation",
-    "prompt_idx": 0,
-    "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 2.0\nRightTireCube: a = 2.0, e = 0.6, m = 9600.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/2/0000.png",
+    "prompt_idx": 8,
+    "time_point": 4.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/2",
+    "case": "inelastic_collision/9",
     "track": "generation",
-    "prompt_idx": 1,
-    "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 2.0\nRightTireCube: a = 2.0, e = 0.6, m = 9600.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/2/0000.png",
+    "prompt_idx": 9,
+    "time_point": 5.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/2",
+    "case": "inelastic_collision/9",
     "track": "generation",
-    "prompt_idx": 2,
-    "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 2.0\nRightTireCube: a = 2.0, e = 0.6, m = 9600.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/2/0000.png",
+    "prompt_idx": 10,
+    "time_point": 5.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/2",
+    "case": "inelastic_collision/9",
     "track": "generation",
-    "prompt_idx": 3,
-    "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 2.0\nRightTireCube: a = 2.0, e = 0.6, m = 9600.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/2/0000.png",
+    "prompt_idx": 11,
+    "time_point": 6.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/2",
+    "case": "inelastic_collision/9",
     "track": "generation",
-    "prompt_idx": 4,
-    "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 2.0\nRightTireCube: a = 2.0, e = 0.6, m = 9600.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/2/0000.png",
+    "prompt_idx": 12,
+    "time_point": 6.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/2",
+    "case": "inelastic_collision/9",
     "track": "generation",
-    "prompt_idx": 5,
-    "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 2.0\nRightTireCube: a = 2.0, e = 0.6, m = 9600.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/2/0000.png",
+    "prompt_idx": 13,
+    "time_point": 7.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) v = f·λ\n  B) ΔE = (1/2)·[(m_1·m_2) / (m_1 + m_2)]·(v_1i - v_2i)²\n  C) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n  D) e = 1 - ΔE / (m_1·v_1i² + m_2·v_2i²)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) λ = h/(m·v)\n  B) ΔE = (1/2)·[(m_1·m_2) / (m_1 + m_2)]·(v_1i - v_2i)²\n  C) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n  D) J = m_1·m_2·(v_1i - v_2i)·(1+e) / (m_1 + m_2) · sinθ\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nPredict the physical state at t = 2.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nPredict the physical state at t = 1.75 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "generation",
     "prompt_idx": 8,
     "time_point": 4.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "generation",
     "prompt_idx": 9,
     "time_point": 5.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision_newbatch/7",
+    "track": "generation",
+    "prompt_idx": 10,
+    "time_point": 5.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision_newbatch/7",
+    "track": "generation",
+    "prompt_idx": 11,
+    "time_point": 6.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision_newbatch/7",
+    "track": "generation",
+    "prompt_idx": 12,
+    "time_point": 6.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision_newbatch/7",
+    "track": "generation",
+    "prompt_idx": 13,
+    "time_point": 7.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "inelastic_collision_newbatch/7",
+    "track": "generation",
+    "prompt_idx": 14,
+    "time_point": 7.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) ΔE = (1/2)·[(m_1·m_2) / (m_1 + m_2)]·(v_1i - v_2i)²\n  B) v = f·λ\n  C) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n  D) ΔE_loss = (1/2)·e²·(m_1·m_2)/(m_1+m_2)·(v_1i + v_2i)²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n  B) B = μ_0·I / (2π·r)\n  C) ΔE = μ_k·m·g·d\n  D) v_2f = 2·m_1·v_1i·cosθ / (m_1 + m_2)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nPredict the physical state at t = 2.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nPredict the physical state at t = 2.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "generation",
     "prompt_idx": 8,
     "time_point": 4.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "generation",
     "prompt_idx": 9,
     "time_point": 5.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "generation",
     "prompt_idx": 10,
     "time_point": 5.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "inelastic_collision_newbatch/14",
-    "track": "generation",
-    "prompt_idx": 11,
-    "time_point": 6.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2879,7 +3083,7 @@
     "case": "perfectly_elastic_collision/3",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2887,7 +3091,7 @@
     "case": "perfectly_elastic_collision/3",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n  B) v_1f = v_1i · e^(-m_2/m_1) + v_2i·(1 - e^(-m_2/m_1))\n  C) v_2f - v_1f = e·(v_1i - v_2i)\n  D) L = I·ω\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2895,7 +3099,7 @@
     "case": "perfectly_elastic_collision/3",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nPredict the physical state at t = 2.75 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2905,7 +3109,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2915,7 +3119,7 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2925,7 +3129,7 @@
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2935,7 +3139,7 @@
     "prompt_idx": 3,
     "time_point": 2.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2945,7 +3149,7 @@
     "prompt_idx": 4,
     "time_point": 2.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2955,7 +3159,7 @@
     "prompt_idx": 5,
     "time_point": 3.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2965,7 +3169,7 @@
     "prompt_idx": 6,
     "time_point": 3.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2975,7 +3179,7 @@
     "prompt_idx": 7,
     "time_point": 4.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2985,7 +3189,7 @@
     "prompt_idx": 8,
     "time_point": 4.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -2995,7 +3199,7 @@
     "prompt_idx": 9,
     "time_point": 5.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3005,7 +3209,7 @@
     "prompt_idx": 10,
     "time_point": 5.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3015,7 +3219,7 @@
     "prompt_idx": 11,
     "time_point": 6.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3025,7 +3229,7 @@
     "prompt_idx": 12,
     "time_point": 6.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3035,617 +3239,877 @@
     "prompt_idx": 13,
     "time_point": 7.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) F = k·q_1·q_2 / r²\n  B) ΔE = μ_k·m·g·d\n  C) v_2f = 2·m_1·v_1i·cosθ / (m_1 + m_2)\n  D) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) ΔE = μ_k·m·g·d\n  B) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n  C) λ = h/(m·v)\n  D) v_2f = 2·m_1·v_1i·cosθ / (m_1 + m_2)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nPredict the physical state at t = 4.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 4.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nPredict the physical state at t = 2.75 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "generation",
     "prompt_idx": 8,
     "time_point": 4.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "generation",
     "prompt_idx": 9,
     "time_point": 5.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "generation",
     "prompt_idx": 10,
     "time_point": 5.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/5",
+    "track": "generation",
+    "prompt_idx": 11,
+    "time_point": 6.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/5",
+    "track": "generation",
+    "prompt_idx": 12,
+    "time_point": 6.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/5",
+    "track": "generation",
+    "prompt_idx": 13,
+    "time_point": 7.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) n_1·sinθ_1 = n_2·sinθ_2\n  B) ∫ F(t) dt = Δ(mv)\n  C) v_1f = v_1i · e^(-m_2/m_1) + v_2i·(1 - e^(-m_2/m_1))\n  D) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) ∫ F(t) dt = Δ(mv)\n  B) v_1f = v_1i·(m_1² - m_2²) / (m_1 + m_2)²\n  C) λ = h/(m·v)\n  D) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nPredict the physical state at t = 2.75 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nPredict the physical state at t = 3.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 3.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/7",
+    "track": "generation",
+    "prompt_idx": 8,
+    "time_point": 4.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/7",
+    "track": "generation",
+    "prompt_idx": 9,
+    "time_point": 5.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/7",
+    "track": "generation",
+    "prompt_idx": 10,
+    "time_point": 5.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/7",
+    "track": "generation",
+    "prompt_idx": 11,
+    "time_point": 6.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/8",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) I = I_cm + m·(a/2)²\n  B) F = k·q_1·q_2 / r²\n  C) E_k = (1/2)·(m_1·v_1i + m_2·v_2i)² / (m_1 + m_2)\n  D) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) I = I_cm + m·(a/2)²\n  B) v_2f = 2·m_1·v_1i·cosθ / (m_1 + m_2)\n  C) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n  D) F = k·q_1·q_2 / r²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nPredict the physical state at t = 2.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nPredict the physical state at t = 2.75 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/8",
+    "track": "generation",
+    "prompt_idx": 8,
+    "time_point": 4.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/8",
+    "track": "generation",
+    "prompt_idx": 9,
+    "time_point": 5.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/8",
+    "track": "generation",
+    "prompt_idx": 10,
+    "time_point": 5.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/8",
+    "track": "generation",
+    "prompt_idx": 11,
+    "time_point": 6.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/8",
+    "track": "generation",
+    "prompt_idx": 12,
+    "time_point": 6.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/8",
+    "track": "generation",
+    "prompt_idx": 13,
+    "time_point": 7.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/8",
+    "track": "generation",
+    "prompt_idx": 14,
+    "time_point": 7.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/8",
+    "track": "generation",
+    "prompt_idx": 15,
+    "time_point": 8.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/8",
+    "track": "generation",
+    "prompt_idx": 16,
+    "time_point": 8.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/8",
+    "track": "generation",
+    "prompt_idx": 17,
+    "time_point": 9.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/9",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) E_k = (1/2)·(m_1·v_1i + m_2·v_2i)² / (m_1 + m_2)\n  B) v_2f - v_1f = e·(v_1i - v_2i)\n  C) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n  D) Q = m·c·ΔT\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) F = k·q_1·q_2 / r²\n  B) ΔE = μ_k·m·g·d\n  C) v_2f = 2·m_1·v_1i·cosθ / (m_1 + m_2)\n  D) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nPredict the physical state at t = 2.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nPredict the physical state at t = 4.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 4.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/9",
+    "track": "generation",
+    "prompt_idx": 7,
+    "time_point": 4.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/9",
+    "track": "generation",
+    "prompt_idx": 8,
+    "time_point": 4.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_elastic_collision/9",
+    "track": "generation",
+    "prompt_idx": 9,
+    "time_point": 5.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "generation",
-    "prompt_idx": 7,
-    "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt_idx": 10,
+    "time_point": 5.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) T = 2π·√(m/k)\n  B) v_cm = (m_1·v_1i² + m_2·v_2i²) / (2·(m_1·v_1i + m_2·v_2i))\n  C) ΔE = μ_k·m·g·d\n  D) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·(m_1 + m_2)·v_f²\n  B) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  C) ΔE = (1/2)·(m_1·m_2)·(v_1i + v_2i)² / (m_1 + m_2)²\n  D) PV = nRT\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nPredict the physical state at t = 1.75 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nPredict the physical state at t = 1.75 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 8,
     "time_point": 4.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 9,
     "time_point": 5.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 10,
     "time_point": 5.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 11,
     "time_point": 6.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 12,
     "time_point": 6.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
     "prompt_idx": 13,
     "time_point": 7.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 14,
+    "time_point": 7.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 15,
+    "time_point": 8.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 16,
+    "time_point": 8.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 17,
+    "time_point": 9.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 18,
+    "time_point": 9.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 9.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "perfectly_inelastic_collision/2",
+    "track": "generation",
+    "prompt_idx": 19,
+    "time_point": 10.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 10.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3653,7 +4117,7 @@
     "case": "perfectly_inelastic_collision/5",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3661,7 +4125,7 @@
     "case": "perfectly_inelastic_collision/5",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) I = V / R\n  B) m = ρ·a³\n  C) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  D) ΔE_loss = m_1·m_2·(v_1i - v_2i) / (2·(m_1 + m_2))\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3669,7 +4133,7 @@
     "case": "perfectly_inelastic_collision/5",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nPredict the physical state at t = 2.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3679,7 +4143,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3689,7 +4153,7 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3699,7 +4163,7 @@
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3709,7 +4173,7 @@
     "prompt_idx": 3,
     "time_point": 2.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3719,7 +4183,7 @@
     "prompt_idx": 4,
     "time_point": 2.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3729,7 +4193,7 @@
     "prompt_idx": 5,
     "time_point": 3.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3739,7 +4203,7 @@
     "prompt_idx": 6,
     "time_point": 3.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3749,7 +4213,7 @@
     "prompt_idx": 7,
     "time_point": 4.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3759,7 +4223,7 @@
     "prompt_idx": 8,
     "time_point": 4.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3769,7 +4233,7 @@
     "prompt_idx": 9,
     "time_point": 5.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3779,7 +4243,7 @@
     "prompt_idx": 10,
     "time_point": 5.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3789,7 +4253,7 @@
     "prompt_idx": 11,
     "time_point": 6.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3797,7 +4261,7 @@
     "case": "perfectly_inelastic_collision/6",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3805,7 +4269,7 @@
     "case": "perfectly_inelastic_collision/6",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) ΔS = Q_rev / T\n  B) ΔE_loss = m_1·m_2·(v_1i - v_2i) / (2·(m_1 + m_2))\n  C) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  D) v_2f - v_1f = e·(v_1i - v_2i)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3813,7 +4277,7 @@
     "case": "perfectly_inelastic_collision/6",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nPredict the physical state at t = 3.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 3.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3823,7 +4287,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3833,7 +4297,7 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3843,7 +4307,7 @@
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3853,7 +4317,7 @@
     "prompt_idx": 3,
     "time_point": 2.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3863,7 +4327,7 @@
     "prompt_idx": 4,
     "time_point": 2.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3873,7 +4337,7 @@
     "prompt_idx": 5,
     "time_point": 3.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3883,7 +4347,7 @@
     "prompt_idx": 6,
     "time_point": 3.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3893,7 +4357,7 @@
     "prompt_idx": 7,
     "time_point": 4.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3901,7 +4365,7 @@
     "case": "perfectly_inelastic_collision/7",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3909,7 +4373,7 @@
     "case": "perfectly_inelastic_collision/7",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) W_friction = μ_k·(m_1 + m_2)·g·d\n  B) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  C) E_k_f = (m_1²·v_1i² + m_2²·v_2i²) / (2·(m_1 + m_2))\n  D) ΔS = Q_rev / T\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3917,7 +4381,7 @@
     "case": "perfectly_inelastic_collision/7",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nPredict the physical state at t = 1.75 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3927,7 +4391,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3937,7 +4401,7 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3947,7 +4411,7 @@
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3957,7 +4421,7 @@
     "prompt_idx": 3,
     "time_point": 2.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3967,7 +4431,7 @@
     "prompt_idx": 4,
     "time_point": 2.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3977,7 +4441,7 @@
     "prompt_idx": 5,
     "time_point": 3.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -3987,699 +4451,475 @@
     "prompt_idx": 6,
     "time_point": 3.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/7",
-    "track": "generation",
-    "prompt_idx": 7,
-    "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
     "case": "perfectly_inelastic_collision/7",
     "track": "generation",
-    "prompt_idx": 8,
-    "time_point": 4.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  B) ΔE_loss = m_1·m_2·(v_1i - v_2i) / (2·(m_1 + m_2))\n  C) F_b = ρ_f·g·V\n  D) m = ρ·a³\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nPredict the physical state at t = 2.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 0,
-    "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 1,
-    "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 2,
-    "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 3,
-    "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 4,
-    "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 5,
-    "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 6,
-    "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 7,
-    "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 8,
-    "time_point": 4.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 9,
-    "time_point": 5.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 10,
-    "time_point": 5.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 11,
-    "time_point": 6.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 12,
-    "time_point": 6.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 13,
-    "time_point": 7.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 14,
-    "time_point": 7.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 15,
-    "time_point": 8.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 16,
-    "time_point": 8.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 17,
-    "time_point": 9.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision/8",
-    "track": "generation",
-    "prompt_idx": 18,
-    "time_point": 9.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 9.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
+    "prompt_idx": 7,
+    "time_point": 4.0,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision/8",
+    "case": "perfectly_inelastic_collision/7",
     "track": "generation",
-    "prompt_idx": 19,
-    "time_point": 10.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 10.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
+    "prompt_idx": 8,
+    "time_point": 4.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) PV = nRT\n  B) v_f = (m_1·v_1i + m_2·v_2i)² / ((m_1 + m_2)·(v_1i + v_2i))\n  C) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  D) m = ρ·a³\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  B) ΔE_loss = m_1·m_2·(v_1i - v_2i) / (2·(m_1 + m_2))\n  C) F_b = ρ_f·g·V\n  D) m = ρ·a³\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nPredict the physical state at t = 2.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nPredict the physical state at t = 2.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 8,
     "time_point": 4.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 9,
     "time_point": 5.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 10,
     "time_point": 5.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 11,
     "time_point": 6.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 12,
     "time_point": 6.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 13,
     "time_point": 7.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 14,
     "time_point": 7.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 15,
     "time_point": 8.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 16,
     "time_point": 8.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 17,
     "time_point": 9.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 18,
     "time_point": 9.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 9.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 9.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/1",
+    "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt_idx": 19,
     "time_point": 10.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 10.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 10.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) W_friction = μ_k·(m_1 + m_2)·g·d\n  B) v_f² = (m_1·v_1i + m_2·v_2i)² / (m_1² + m_2²)\n  C) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  D) PV = nRT\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) PV = nRT\n  B) v_f = (m_1·v_1i + m_2·v_2i)² / ((m_1 + m_2)·(v_1i + v_2i))\n  C) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  D) m = ρ·a³\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nPredict the physical state at t = 1.75 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nPredict the physical state at t = 2.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 2,
     "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 3,
     "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 4,
     "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 5,
     "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 6,
     "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 7,
     "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 8,
     "time_point": 4.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 9,
     "time_point": 5.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 10,
     "time_point": 5.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 11,
     "time_point": 6.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 12,
     "time_point": 6.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 13,
     "time_point": 7.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 14,
     "time_point": 7.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 15,
     "time_point": 8.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 16,
     "time_point": 8.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 17,
     "time_point": 9.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 18,
     "time_point": 9.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 9.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 9.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_inelastic_collision_newbatch/8",
+    "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt_idx": 19,
     "time_point": 10.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate what the scene looks like at t = 10.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate what the scene looks like at t = 10.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -4687,7 +4927,7 @@
     "case": "projectile/1",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 8.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 0.0, 8.0)\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/projectile/1/0000.png",
+    "image": "firstframe/projectile/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -4695,7 +4935,7 @@
     "case": "projectile/1",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 8.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 0.0, 8.0)\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) h_next = e²·h_current\n  B) B = μ_0·I / (2π·r)\n  C) y = h·cos(g·x / v_0²) + x·tanθ\n  D) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/projectile/1/0000.png",
+    "image": "firstframe/projectile/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -4703,7 +4943,7 @@
     "case": "projectile/1",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 8.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 0.0, 8.0)\n\nPredict the physical state at t = 1.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/projectile/1/0000.png",
+    "image": "firstframe/projectile/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -4713,7 +4953,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 8.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 0.0, 8.0)\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile/1/0000.png",
+    "image": "firstframe/projectile/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -4723,7 +4963,7 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 8.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 0.0, 8.0)\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile/1/0000.png",
+    "image": "firstframe/projectile/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -4733,51 +4973,61 @@
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 8.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 0.0, 8.0)\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile/1/0000.png",
+    "image": "firstframe/projectile/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile/8",
+    "case": "projectile/10",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/projectile/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 2.0, v_0 = (0.0, 10.0, 6.0)\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/projectile/10/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile/8",
+    "case": "projectile/10",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  B) a_n = v² / ρ\n  C) t_flight = 2·v_0·sin²θ / g\n  D) L = I·ω\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/projectile/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 2.0, v_0 = (0.0, 10.0, 6.0)\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) a_n = v² / ρ\n  B) v_x(t) = v_0·cosθ · e^(-g·t/v_0)\n  C) T = 2π·√(L/g)\n  D) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/projectile/10/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile/8",
+    "case": "projectile/10",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nPredict the physical state at t = 0.75 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/projectile/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 2.0, v_0 = (0.0, 10.0, 6.0)\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/projectile/10/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile/8",
+    "case": "projectile/10",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 2.0, v_0 = (0.0, 10.0, 6.0)\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/projectile/10/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile/8",
+    "case": "projectile/10",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile/8/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 2.0, v_0 = (0.0, 10.0, 6.0)\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/projectile/10/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "projectile/10",
+    "track": "generation",
+    "prompt_idx": 2,
+    "time_point": 1.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 2.0, v_0 = (0.0, 10.0, 6.0)\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/projectile/10/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -4785,7 +5035,7 @@
     "case": "projectile/12",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 2.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 3.0, v_0 = (0.0, 8.0, 4.0)\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/projectile/12/0000.png",
+    "image": "firstframe/projectile/12/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -4793,7 +5043,7 @@
     "case": "projectile/12",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 2.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 3.0, v_0 = (0.0, 8.0, 4.0)\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) y = h·cos(g·x / v_0²) + x·tanθ\n  B) L = I·ω\n  C) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  D) m·g·h + (1/2)·m·v_0² = constant\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/projectile/12/0000.png",
+    "image": "firstframe/projectile/12/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -4801,7 +5051,7 @@
     "case": "projectile/12",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 2.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 3.0, v_0 = (0.0, 8.0, 4.0)\n\nPredict the physical state at t = 0.75 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/projectile/12/0000.png",
+    "image": "firstframe/projectile/12/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -4811,7 +5061,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 2.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 3.0, v_0 = (0.0, 8.0, 4.0)\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile/12/0000.png",
+    "image": "firstframe/projectile/12/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -4821,209 +5071,149 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 2.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 3.0, v_0 = (0.0, 8.0, 4.0)\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile/12/0000.png",
+    "image": "firstframe/projectile/12/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/1",
+    "case": "projectile/7",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/projectile_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 8.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 8.0, v_0 = (0.0, 12.0, 0.0)\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/projectile/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/1",
+    "case": "projectile/7",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  B) I = V / R\n  C) x(t) = v_0·t·cosθ · (1 - g·t/v_0)\n  D) m·g·h + (1/2)·m·v_0² = constant\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/projectile_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 8.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 8.0, v_0 = (0.0, 12.0, 0.0)\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  B) ΔS = Q_rev / T\n  C) x(t) = v_0·t·cosθ · (1 - g·t/v_0)\n  D) h_next = e²·h_current\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/projectile/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/1",
+    "case": "projectile/7",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nPredict the physical state at t = 1.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/projectile_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 8.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 8.0, v_0 = (0.0, 12.0, 0.0)\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/projectile/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/1",
+    "case": "projectile/7",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 8.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 8.0, v_0 = (0.0, 12.0, 0.0)\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/projectile/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/1",
+    "case": "projectile/7",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile_newbatch/1/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 8.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 8.0, v_0 = (0.0, 12.0, 0.0)\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/projectile/7/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/1",
-    "track": "generation",
-    "prompt_idx": 2,
-    "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile_newbatch/1/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "projectile_newbatch/4",
+    "case": "projectile/8",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/projectile/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/4",
+    "case": "projectile/8",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) h_next = e²·h_current\n  B) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  C) PV^γ = constant\n  D) x(t) = v_0·t·cosθ · (1 - g·t/v_0)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  B) a_n = v² / ρ\n  C) t_flight = 2·v_0·sin²θ / g\n  D) L = I·ω\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/projectile/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/4",
+    "case": "projectile/8",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nPredict the physical state at t = 2.5 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nPredict the physical state at t = 0.75 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 0.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/projectile/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/4",
+    "case": "projectile/8",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/projectile/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/4",
+    "case": "projectile/8",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "projectile_newbatch/4",
-    "track": "generation",
-    "prompt_idx": 2,
-    "time_point": 1.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "projectile_newbatch/4",
-    "track": "generation",
-    "prompt_idx": 3,
-    "time_point": 2.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "projectile_newbatch/4",
-    "track": "generation",
-    "prompt_idx": 4,
-    "time_point": 2.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "projectile_newbatch/4",
-    "track": "generation",
-    "prompt_idx": 5,
-    "time_point": 3.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "projectile_newbatch/4",
-    "track": "generation",
-    "prompt_idx": 6,
-    "time_point": 3.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
-    "duration": 1,
-    "size": "1280x720"
-  },
-  {
-    "case": "projectile_newbatch/4",
-    "track": "generation",
-    "prompt_idx": 7,
-    "time_point": 4.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/projectile/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/9",
+    "case": "projectile_newbatch/1",
     "track": "perception_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.31, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 4.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 4.0, 6.0)\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/projectile_newbatch/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/projectile_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/9",
+    "case": "projectile_newbatch/1",
     "track": "comprehension_text",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.31, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 4.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 4.0, 6.0)\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) m·g·h + (1/2)·m·v_0² = constant\n  B) y = h·cos(g·x / v_0²) + x·tanθ\n  C) ΔU = q·ΔV\n  D) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/projectile_newbatch/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  B) I = V / R\n  C) x(t) = v_0·t·cosθ · (1 - g·t/v_0)\n  D) m·g·h + (1/2)·m·v_0² = constant\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
+    "image": "firstframe/projectile_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/9",
+    "case": "projectile_newbatch/1",
     "track": "comprehension_graphic",
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.31, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 4.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 4.0, 6.0)\n\nPredict the physical state at t = 1.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/projectile_newbatch/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nPredict the physical state at t = 1.25 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
+    "image": "firstframe/projectile_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/9",
+    "case": "projectile_newbatch/1",
     "track": "generation",
     "prompt_idx": 0,
     "time_point": 0.5,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.31, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 4.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 4.0, 6.0)\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile_newbatch/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/projectile_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/9",
+    "case": "projectile_newbatch/1",
     "track": "generation",
     "prompt_idx": 1,
     "time_point": 1.0,
-    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.31, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 4.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 4.0, 6.0)\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/projectile_newbatch/9/0000.png",
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/projectile_newbatch/1/rgb_0000.png",
+    "duration": 1,
+    "size": "1280x720"
+  },
+  {
+    "case": "projectile_newbatch/1",
+    "track": "generation",
+    "prompt_idx": 2,
+    "time_point": 1.5,
+    "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
+    "image": "firstframe/projectile_newbatch/1/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5031,7 +5221,7 @@
     "case": "uniform_linear/2",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5039,7 +5229,7 @@
     "case": "uniform_linear/2",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) P = ρ·g·h\n  B) x(t) = x_0 + v_0·t\n  C) F_D = (1/2)·C_d·ρ·a²·v²\n  D) x(t) = x_0 + v_0·t + (v_0²/c²)·t²\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5047,7 +5237,7 @@
     "case": "uniform_linear/2",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nPredict the physical state at t = 2.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5057,7 +5247,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5067,7 +5257,7 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5077,7 +5267,7 @@
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5087,7 +5277,7 @@
     "prompt_idx": 3,
     "time_point": 2.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5097,7 +5287,7 @@
     "prompt_idx": 4,
     "time_point": 2.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5107,7 +5297,7 @@
     "prompt_idx": 5,
     "time_point": 3.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5117,7 +5307,7 @@
     "prompt_idx": 6,
     "time_point": 3.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5127,7 +5317,7 @@
     "prompt_idx": 7,
     "time_point": 4.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5135,7 +5325,7 @@
     "case": "uniform_linear/6",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5143,7 +5333,7 @@
     "case": "uniform_linear/6",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) T = 2π·√(L/g)\n  B) p = m·v_0 · ln(1 + t/τ)\n  C) F_push ≤ μ_s·m·g\n  D) x(t) = x_0 + v_0·t\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5151,7 +5341,7 @@
     "case": "uniform_linear/6",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nPredict the physical state at t = 2.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5161,7 +5351,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5171,7 +5361,7 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5181,7 +5371,7 @@
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5191,7 +5381,7 @@
     "prompt_idx": 3,
     "time_point": 2.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5201,7 +5391,7 @@
     "prompt_idx": 4,
     "time_point": 2.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5211,7 +5401,7 @@
     "prompt_idx": 5,
     "time_point": 3.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 3.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5221,7 +5411,7 @@
     "prompt_idx": 6,
     "time_point": 3.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 3.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5231,7 +5421,7 @@
     "prompt_idx": 7,
     "time_point": 4.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 4.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5241,7 +5431,7 @@
     "prompt_idx": 8,
     "time_point": 4.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 4.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5251,7 +5441,7 @@
     "prompt_idx": 9,
     "time_point": 5.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 5.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5261,7 +5451,7 @@
     "prompt_idx": 10,
     "time_point": 5.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 5.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5271,7 +5461,7 @@
     "prompt_idx": 11,
     "time_point": 6.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 6.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5281,7 +5471,7 @@
     "prompt_idx": 12,
     "time_point": 6.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 6.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5291,7 +5481,7 @@
     "prompt_idx": 13,
     "time_point": 7.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 7.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5301,7 +5491,7 @@
     "prompt_idx": 14,
     "time_point": 7.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 7.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5311,7 +5501,7 @@
     "prompt_idx": 15,
     "time_point": 8.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 8.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5321,7 +5511,7 @@
     "prompt_idx": 16,
     "time_point": 8.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 8.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5331,7 +5521,7 @@
     "prompt_idx": 17,
     "time_point": 9.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate what the scene looks like at t = 9.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5339,7 +5529,7 @@
     "case": "uniform_linear/8",
     "track": "perception_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (2.0, 0.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (1.0, 1.73, 0.0)\nFeltPlainCube: a = 2.0, v_0 = (-1.0, 1.73, 0.0)\nPiqueWeaveCube: a = 2.0, v_0 = (-2.0, 0.0, 0.0)\n\nShow only the subject physical objects from this image on a pure white background. Remove all annotations (coordinate axes, velocity arrows), the ground surface, sky, and supporting structures (ramps, tracks, rails, platforms). Keep only the objects that have labeled physical properties. Do not transform, resize, or replace any object — a cube must stay a cube, a sphere must stay a sphere. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/uniform_linear/8/0000.png",
+    "image": "firstframe/uniform_linear/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5347,7 +5537,7 @@
     "case": "uniform_linear/8",
     "track": "comprehension_text",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (2.0, 0.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (1.0, 1.73, 0.0)\nFeltPlainCube: a = 2.0, v_0 = (-1.0, 1.73, 0.0)\nPiqueWeaveCube: a = 2.0, v_0 = (-2.0, 0.0, 0.0)\n\nBelow are 4 candidate formulas. Exactly ONE is the correct governing equation for the motion shown:\n  A) v = f·λ\n  B) x(t) = x_0 + v_0·t\n  C) x = v_0²·t / (2·x_0)\n  D) F_push ≤ μ_s·m·g\n\nGenerate an image with a pure white background containing THREE lines of large, clearly readable, centered text:\n  Line 1: The correct option letter (A/B/C/D).\n  Line 2: The correct formula exactly as written above.\n  Line 3: The formula with annotated variables replaced by their numeric values from the parameters above, keeping unannotated symbols unchanged.\n\nWhen substituting: if multiple objects exist, pick exactly one consistent set of values.",
-    "image": "firstframe/uniform_linear/8/0000.png",
+    "image": "firstframe/uniform_linear/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5355,7 +5545,7 @@
     "case": "uniform_linear/8",
     "track": "comprehension_graphic",
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (2.0, 0.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (1.0, 1.73, 0.0)\nFeltPlainCube: a = 2.0, v_0 = (-1.0, 1.73, 0.0)\nPiqueWeaveCube: a = 2.0, v_0 = (-2.0, 0.0, 0.0)\n\nPredict the physical state at t = 2.0 s. Generate an image showing the scene at that instant, where the original annotations (coordinate axes and any initial velocity arrows) have been cleanly removed while the background, ground, sky, and all scene lighting remain completely unchanged from the input. Show each object at its correct position at t = 2.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, overlay a borderless orange arrow starting from the object's center pointing in its instantaneous velocity direction, with a label \"v = X.XX\" (speed value, no unit). If an object is at rest, show \"v = 0\" with no arrow. Keep the same viewpoint as the input image — no zoom, no rotation, no crop.",
-    "image": "firstframe/uniform_linear/8/0000.png",
+    "image": "firstframe/uniform_linear/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5365,7 +5555,7 @@
     "prompt_idx": 0,
     "time_point": 0.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (2.0, 0.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (1.0, 1.73, 0.0)\nFeltPlainCube: a = 2.0, v_0 = (-1.0, 1.73, 0.0)\nPiqueWeaveCube: a = 2.0, v_0 = (-2.0, 0.0, 0.0)\n\nGenerate what the scene looks like at t = 0.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/8/0000.png",
+    "image": "firstframe/uniform_linear/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5375,7 +5565,7 @@
     "prompt_idx": 1,
     "time_point": 1.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (2.0, 0.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (1.0, 1.73, 0.0)\nFeltPlainCube: a = 2.0, v_0 = (-1.0, 1.73, 0.0)\nPiqueWeaveCube: a = 2.0, v_0 = (-2.0, 0.0, 0.0)\n\nGenerate what the scene looks like at t = 1.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/8/0000.png",
+    "image": "firstframe/uniform_linear/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5385,7 +5575,7 @@
     "prompt_idx": 2,
     "time_point": 1.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (2.0, 0.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (1.0, 1.73, 0.0)\nFeltPlainCube: a = 2.0, v_0 = (-1.0, 1.73, 0.0)\nPiqueWeaveCube: a = 2.0, v_0 = (-2.0, 0.0, 0.0)\n\nGenerate what the scene looks like at t = 1.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/8/0000.png",
+    "image": "firstframe/uniform_linear/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5395,7 +5585,7 @@
     "prompt_idx": 3,
     "time_point": 2.0,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (2.0, 0.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (1.0, 1.73, 0.0)\nFeltPlainCube: a = 2.0, v_0 = (-1.0, 1.73, 0.0)\nPiqueWeaveCube: a = 2.0, v_0 = (-2.0, 0.0, 0.0)\n\nGenerate what the scene looks like at t = 2.0 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/8/0000.png",
+    "image": "firstframe/uniform_linear/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   },
@@ -5405,7 +5595,7 @@
     "prompt_idx": 4,
     "time_point": 2.5,
     "prompt": "The input image is the initial frame of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (2.0, 0.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (1.0, 1.73, 0.0)\nFeltPlainCube: a = 2.0, v_0 = (-1.0, 1.73, 0.0)\nPiqueWeaveCube: a = 2.0, v_0 = (-2.0, 0.0, 0.0)\n\nGenerate what the scene looks like at t = 2.5 seconds after motion begins, following these physical parameters accurately. Remove the coordinate axes and any initial velocity arrows from the input. Objects are rigid bodies — same shape, size, color, and texture throughout. Static camera, fixed background and ground.",
-    "image": "firstframe/uniform_linear/8/0000.png",
+    "image": "firstframe/uniform_linear/8/rgb_0000.png",
     "duration": 1,
     "size": "1280x720"
   }
diff --git a/bench_ablation/videogen.json b/bench_ablation/videogen.json
index 6184aed0114e130f44135a9d99a7c9df4341eee0..43c1518dccfc7e8c1f142a98aa30c68eddb013d3 100644
--- a/bench_ablation/videogen.json
+++ b/bench_ablation/videogen.json
@@ -1,353 +1,353 @@
 [
   {
-    "case": "at_rest/2",
+    "case": "at_rest/0",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/0/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/2",
+    "case": "at_rest/0",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) n_1·sinθ_1 = n_2·sinθ_2\n  B) ΣF_ext = 0\n  C) G = m·g\n  D) τ_net = Σ(F_i·r_i·sinθ_i) · e^(-μ·t)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) ΣF = m·Δv / (Δt·cosθ)\n  B) ΣF_ext = 0\n  C) T = 2π·√(m/k)\n  D) F_drag = (1/2)·C_d·ρ·A·v²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/at_rest/0/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/2",
+    "case": "at_rest/0",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/0/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/2",
+    "case": "at_rest/0",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/at_rest/2/0000.png",
+    "image": "firstframe/at_rest/0/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/2",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/2",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) W = ΔE_k = (1/2)·m·v_t² - (1/2)·m·v_0²\n  B) I = V / R\n  C) ΣF = m·Δv / (Δt·cosθ)\n  D) ΣM_ext = 0\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) n_1·sinθ_1 = n_2·sinθ_2\n  B) ΣF_ext = 0\n  C) G = m·g\n  D) τ_net = Σ(F_i·r_i·sinθ_i) · e^(-μ·t)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/2",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest/8",
+    "case": "at_rest/2",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/at_rest/8/0000.png",
+    "image": "firstframe/at_rest/2/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/3",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/3",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) ΣF = m·Δv / (Δt·cosθ)\n  B) ΣF_ext = 0\n  C) W = ΔE_k = (1/2)·m·v_t² - (1/2)·m·v_0²\n  D) U = -G·m_1·m_2 / r\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) G = m·g\n  B) ΣF = m·Δv / (Δt·cosθ)\n  C) ΣF_ext = 0\n  D) U = -G·m_1·m_2 / r\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/3",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/10",
+    "case": "at_rest/3",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/at_rest_newbatch/10/0000.png",
+    "image": "firstframe/at_rest/3/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "at_rest/7",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "at_rest/7",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) G = m·g\n  B) ΔS = Q_rev / T\n  C) ΣM_ext = 0\n  D) ΣM_ext = F·r·cos²θ / (1 + sinθ)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) ΣF_ext = 0\n  B) τ_net = Σ(F_i·r_i·sinθ_i) · e^(-μ·t)\n  C) T = 2π·√(m/k)\n  D) G = m·g\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "at_rest/7",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 0.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/12",
+    "case": "at_rest/7",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/at_rest_newbatch/12/0000.png",
+    "image": "firstframe/at_rest/7/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "at_rest/8",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "at_rest/8",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) ΣM_ext = F·r·cos²θ / (1 + sinθ)\n  B) ΔS = Q_rev / T\n  C) W = ΔE_k = (1/2)·m·v_t² - (1/2)·m·v_0²\n  D) ΣM_ext = 0\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) W = ΔE_k = (1/2)·m·v_t² - (1/2)·m·v_0²\n  B) I = V / R\n  C) ΣF = m·Δv / (Δt·cosθ)\n  D) ΣM_ext = 0\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "at_rest/8",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "at_rest_newbatch/14",
+    "case": "at_rest/8",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/at_rest_newbatch/14/0000.png",
+    "image": "firstframe/at_rest/8/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/2",
+    "case": "circular/0",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/circular_newbatch/2/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/2",
+    "case": "circular/0",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) F_N - m·g·cosθ = m·v²/R\n  B) e = (v_2f - v_1f) / (v_1i - v_2i)\n  C) ΔS = Q_rev / T\n  D) ω = √(g·cosθ / R) · (1 + sinθ)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/circular_newbatch/2/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) a_c = v²·cosθ / (R·sinθ)\n  B) PV = nRT\n  C) F = (3/4)·E*·√(R·d³)\n  D) (1/2)·m·v_0² + m·g·R·(1-cosθ_start) = (1/2)·m·v² + m·g·R·(1-cosθ)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/2",
+    "case": "circular/0",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/circular_newbatch/2/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 2.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/2",
+    "case": "circular/0",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/circular_newbatch/2/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 4.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/circular/0/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular/2",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular/2",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) E_total = m·g·R·(3/2 - cosθ)²\n  B) (1/2)·m·v_0² + m·g·R·(1-cosθ_start) = (1/2)·m·v² + m·g·R·(1-cosθ)\n  C) λ = h/(m·v)\n  D) F_drag =(1/2)·C_d·ρ·A·v²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) C = Q / V\n  B) (1/2)·m·v_0² + m·g·R·(1-cosθ_start) = (1/2)·m·v² + m·g·R·(1-cosθ)\n  C) e = (v_2f - v_1f) / (v_1i - v_2i)\n  D) F_N = m·g·(cosθ - 2) + m·v²/R\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular/2",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/6",
+    "case": "circular/2",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/circular_newbatch/6/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 14.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/circular/2/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular/6",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 0.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 0.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/circular/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular/6",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) v² = g·R·(2 - 3·cosθ) / (1 + sinθ)\n  B) f_k = μ_k·F_N\n  C) ΔE = -13.6·(1/n_f² - 1/n_i²) eV\n  D) (1/2)·m·v_0² + m·g·R·(1-cosθ_start) = (1/2)·m·v² + m·g·R·(1-cosθ)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 0.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 0.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) PV = nRT\n  B) e = (v_2f - v_1f) / (v_1i - v_2i)\n  C) F_N = m·g·(cosθ - 2) + m·v²/R\n  D) F_N - m·g·cosθ = m·v²/R\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/circular/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular/6",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 0.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 0.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/circular/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/8",
+    "case": "circular/6",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: mu_s=0.8, mu_k=0.6\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 5.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/circular_newbatch/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 0.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 0.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/circular/6/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
+    "case": "circular/7",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 5.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/circular/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
+    "case": "circular/7",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) F_drag =(1/2)·C_d·ρ·A·v²\n  B) E_total = m·g·R·(3/2 - cosθ)²\n  C) ΔS = Q_rev / T\n  D) (1/2)·m·v_0² + m·g·R·(1-cosθ_start) = (1/2)·m·v² + m·g·R·(1-cosθ)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 5.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) (1/2)·m·v_0² + m·g·R·(1-cosθ_start) = (1/2)·m·v² + m·g·R·(1-cosθ)\n  B) F = (3/4)·E*·√(R·d³)\n  C) F_N = m·g·(cosθ - 2) + m·v²/R\n  D) v = f·λ\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/circular/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
+    "case": "circular/7",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 5.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/circular/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/11",
+    "case": "circular/7",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -3.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/circular_newbatch/11/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 270°, v_0 = 2.0\nStyrofoamSphere: d = 1.0, e = 0.15, theta_start = 270°, v_0 = 5.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 270°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/circular/7/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/12",
+    "case": "circular_newbatch/14",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/circular_newbatch/14/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/12",
+    "case": "circular_newbatch/14",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) F_N - m·g·cosθ = m·v²/R\n  B) E_total = m·g·R·(3/2 - cosθ)²\n  C) e = (v_2f - v_1f) / (v_1i - v_2i)\n  D) B = μ_0·n·I\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) ΔS = Q_rev / T\n  B) F_N - m·g·cosθ = m·v²/R\n  C) f_s ≤ μ_s·F_N\n  D) a_c = v²·cosθ / (R·sinθ)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/circular_newbatch/14/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/12",
+    "case": "circular_newbatch/14",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/circular_newbatch/14/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/12",
+    "case": "circular_newbatch/14",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nTireSphere: d = 1.0, e = 0.6, theta_start = 90°, v_0 = 6.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 90°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/circular_newbatch/12/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/circular_newbatch/14/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/14",
+    "case": "circular_newbatch/5",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/circular_newbatch/14/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/14",
+    "case": "circular_newbatch/5",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) ΔS = Q_rev / T\n  B) F_N - m·g·cosθ = m·v²/R\n  C) f_s ≤ μ_s·F_N\n  D) a_c = v²·cosθ / (R·sinθ)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/circular_newbatch/14/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) ω = √(g·cosθ / R) · (1 + sinθ)\n  B) e = (v_2f - v_1f) / (v_1i - v_2i)\n  C) Q = m·c·ΔT\n  D) F_N - m·g·cosθ = m·v²/R\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/14",
+    "case": "circular_newbatch/5",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/circular_newbatch/14/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "circular_newbatch/14",
+    "case": "circular_newbatch/5",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 360°, v_0 = -4.0\nTrack_0: R = 2.5, e = 0.3, theta_min = 180°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/circular_newbatch/14/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nTireSphere: d = 1.0, e = 0.6, theta_start = 0°, v_0 = 10.0\nTrack_0: R = 2.0, e = 0.3, theta_min = 0°, theta_max = 360°, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/circular_newbatch/5/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -355,7 +355,7 @@
     "case": "freefall/0",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/freefall/0/0000.png",
+    "image": "firstframe/freefall/0/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -363,7 +363,7 @@
     "case": "freefall/0",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) n_1·sinθ_1 = n_2·sinθ_2\n  B) y(t) = h + v_0·t + (1/2)·g·t²\n  C) F_fall = m·g·(1 + v/c) / √(1 - v²/c²)\n  D) P + (1/2)·ρ·v² + ρ·g·h = constant\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/freefall/0/0000.png",
+    "image": "firstframe/freefall/0/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -371,7 +371,7 @@
     "case": "freefall/0",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nPredict the physical state at t = 0.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/freefall/0/0000.png",
+    "image": "firstframe/freefall/0/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -379,167 +379,167 @@
     "case": "freefall/0",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nClaySphere: d = 1.0, e = 0.2, h = 6.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/freefall/0/0000.png",
+    "image": "firstframe/freefall/0/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "freefall/6",
+    "case": "freefall/4",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/freefall/6/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/freefall/4/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall/6",
+    "case": "freefall/4",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) v_final = -e·v_impact\n  B) F_fall = m·g·(1 + v/c) / √(1 - v²/c²)\n  C) y(t) = h + v_0·t + (1/2)·g·t²\n  D) n_1·sinθ_1 = n_2·sinθ_2\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/freefall/6/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) Q = m·c·ΔT\n  B) I = (1/10)·m·d²\n  C) F_fall = m·g·(1 + v/c) / √(1 - v²/c²)\n  D) y(t) = h + v_0·t + (1/2)·g·t²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/freefall/4/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall/6",
+    "case": "freefall/4",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nPredict the physical state at t = 1.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/freefall/6/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nPredict the physical state at t = 1.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/freefall/4/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall/6",
+    "case": "freefall/4",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/freefall/6/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/freefall/4/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "freefall/8",
+    "case": "freefall/5",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/freefall/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = -0.5\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/freefall/5/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall/8",
+    "case": "freefall/5",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) F_fall = m·g·(1 + v/c) / √(1 - v²/c²)\n  B) v = v_0 + g·t\n  C) Q = m·c·ΔT\n  D) P + (1/2)·ρ·v² + ρ·g·h = constant\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/freefall/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = -0.5\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) v = v_0·cos(g·t / v_0)\n  B) ΔS = Q_rev / T\n  C) I = (1/10)·m·d²\n  D) y(t) = h + v_0·t + (1/2)·g·t²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/freefall/5/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall/8",
+    "case": "freefall/5",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nPredict the physical state at t = 2.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/freefall/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = -0.5\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nPredict the physical state at t = 1.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/freefall/5/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall/8",
+    "case": "freefall/5",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/freefall/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = -0.5\nAgingCopperSphere: d = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/freefall/5/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/3",
+    "case": "freefall/6",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nBronzeAntiqueSphere: d = 1.2, e = 0.45, h = 12.0, v_0 = -1.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/freefall_newbatch/3/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/freefall/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/3",
+    "case": "freefall/6",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nBronzeAntiqueSphere: d = 1.2, e = 0.45, h = 12.0, v_0 = -1.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) y(t) = h + v_0·t + (1/2)·g·t²\n  B) F·Δt = m·v_f - m·v_i\n  C) τ = r × F\n  D) y(t) = h·(1 - e^(-g·t²/2))\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/freefall_newbatch/3/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) v_final = -e·v_impact\n  B) F_fall = m·g·(1 + v/c) / √(1 - v²/c²)\n  C) y(t) = h + v_0·t + (1/2)·g·t²\n  D) n_1·sinθ_1 = n_2·sinθ_2\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/freefall/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/3",
+    "case": "freefall/6",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nBronzeAntiqueSphere: d = 1.2, e = 0.45, h = 12.0, v_0 = -1.0\n\nPredict the physical state at t = 3.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 3.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/freefall_newbatch/3/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nPredict the physical state at t = 1.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/freefall/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/3",
+    "case": "freefall/6",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nBronzeAntiqueSphere: d = 1.2, e = 0.45, h = 12.0, v_0 = -1.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/freefall_newbatch/3/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/freefall/6/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/4",
+    "case": "freefall/8",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/freefall_newbatch/4/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/freefall/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/4",
+    "case": "freefall/8",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) y(t) = h·(1 - e^(-g·t²/2))\n  B) v = f·λ\n  C) v_final = -e·v_impact\n  D) y(t) = h + v_0·t + (1/2)·g·t²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/freefall_newbatch/4/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) F_fall = m·g·(1 + v/c) / √(1 - v²/c²)\n  B) v = v_0 + g·t\n  C) Q = m·c·ΔT\n  D) P + (1/2)·ρ·v² + ρ·g·h = constant\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/freefall/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/4",
+    "case": "freefall/8",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nPredict the physical state at t = 1.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/freefall_newbatch/4/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nPredict the physical state at t = 2.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/freefall/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/4",
+    "case": "freefall/8",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/freefall_newbatch/4/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.8, F_drag=0.0\nGround: e = 0.25\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 15.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/freefall/8/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/8",
+    "case": "freefall_newbatch/4",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nWalnutCube: a = 1.8, e = 0.5, h = 10.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/freefall_newbatch/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/freefall_newbatch/4/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/8",
+    "case": "freefall_newbatch/4",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nWalnutCube: a = 1.8, e = 0.5, h = 10.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) v_impact = √(g·h) · (1 + μ·t)\n  B) F = k·q_1·q_2 / r²\n  C) I = (1/10)·m·d²\n  D) y(t) = h + v_0·t + (1/2)·g·t²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/freefall_newbatch/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) y(t) = h·(1 - e^(-g·t²/2))\n  B) v = f·λ\n  C) v_final = -e·v_impact\n  D) y(t) = h + v_0·t + (1/2)·g·t²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/freefall_newbatch/4/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/8",
+    "case": "freefall_newbatch/4",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nWalnutCube: a = 1.8, e = 0.5, h = 10.0, v_0 = 0.0\n\nPredict the physical state at t = 3.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 3.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/freefall_newbatch/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nPredict the physical state at t = 1.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/freefall_newbatch/4/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "freefall_newbatch/8",
+    "case": "freefall_newbatch/4",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.62, F_drag=0.0\nGround: e = 0.15\nWalnutCube: a = 1.8, e = 0.5, h = 10.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/freefall_newbatch/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nOakCube: a = 2.0, e = 0.5, h = 15.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/freefall_newbatch/4/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -547,7 +547,7 @@
     "case": "inclined_plane/1",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inclined_plane/1/0000.png",
+    "image": "firstframe/inclined_plane/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -555,7 +555,7 @@
     "case": "inclined_plane/1",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) v² = v_0² + 2·a_slope·s\n  B) ΔS = Q_rev / T\n  C) E_p = m·g·(H - h)\n  D) s = v_0·t·cosθ + (1/2)·g·sinθ·t²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/inclined_plane/1/0000.png",
+    "image": "firstframe/inclined_plane/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -563,7 +563,7 @@
     "case": "inclined_plane/1",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/inclined_plane/1/0000.png",
+    "image": "firstframe/inclined_plane/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -571,7 +571,7 @@
     "case": "inclined_plane/1",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 5.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/inclined_plane/1/0000.png",
+    "image": "firstframe/inclined_plane/1/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -579,7 +579,7 @@
     "case": "inclined_plane/2",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inclined_plane/2/0000.png",
+    "image": "firstframe/inclined_plane/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -587,7 +587,7 @@
     "case": "inclined_plane/2",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) N = m·g·(cosθ - μ_k·sinθ)²\n  B) Q = m·c·ΔT\n  C) E_p = m·g·(H - h)\n  D) v² = v_0² + 2·a_slope·s\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/inclined_plane/2/0000.png",
+    "image": "firstframe/inclined_plane/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -595,7 +595,7 @@
     "case": "inclined_plane/2",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/inclined_plane/2/0000.png",
+    "image": "firstframe/inclined_plane/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -603,7 +603,39 @@
     "case": "inclined_plane/2",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.19, v_0 = 2.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/inclined_plane/2/0000.png",
+    "image": "firstframe/inclined_plane/2/rgb_0000.png",
+    "duration": 4,
+    "size": "1280x720"
+  },
+  {
+    "case": "inclined_plane/3",
+    "track": "perception_graphic",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 6.96, v_0 = -2.0\nRamp_0: theta = 60°, H = 8.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inclined_plane/3/rgb_0000.png",
+    "duration": 8,
+    "size": "1280x720"
+  },
+  {
+    "case": "inclined_plane/3",
+    "track": "comprehension_text",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 6.96, v_0 = -2.0\nRamp_0: theta = 60°, H = 8.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) U = -G·m_1·m_2 / r\n  B) a_slope = g·(sinθ - μ_k·cosθ)\n  C) E_p = m·g·(H - h)\n  D) F_net = m·g·(sin²θ - μ_k·cos²θ) / sinθ\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/inclined_plane/3/rgb_0000.png",
+    "duration": 8,
+    "size": "1280x720"
+  },
+  {
+    "case": "inclined_plane/3",
+    "track": "comprehension_graphic",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 6.96, v_0 = -2.0\nRamp_0: theta = 60°, H = 8.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/inclined_plane/3/rgb_0000.png",
+    "duration": 8,
+    "size": "1280x720"
+  },
+  {
+    "case": "inclined_plane/3",
+    "track": "generation",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 6.96, v_0 = -2.0\nRamp_0: theta = 60°, H = 8.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/inclined_plane/3/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -611,7 +643,7 @@
     "case": "inclined_plane/7",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inclined_plane/7/0000.png",
+    "image": "firstframe/inclined_plane/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -619,7 +651,7 @@
     "case": "inclined_plane/7",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) T = 2π·√(L/g)\n  B) v² = v_0² + 2·a_slope·s\n  C) h_cm·sinθ > (a/2)·cosθ\n  D) N = m·g·(cosθ - μ_k·sinθ)²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/inclined_plane/7/0000.png",
+    "image": "firstframe/inclined_plane/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -627,7 +659,7 @@
     "case": "inclined_plane/7",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 0.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/inclined_plane/7/0000.png",
+    "image": "firstframe/inclined_plane/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -635,295 +667,295 @@
     "case": "inclined_plane/7",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 4.01, v_0 = 0.1\nStoneBlackCube: a = 1.0, h = 3.30, v_0 = 0.2\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/inclined_plane/7/0000.png",
+    "image": "firstframe/inclined_plane/7/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/8",
+    "case": "inclined_plane_newbatch/1",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -3.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inclined_plane/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inclined_plane_newbatch/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/8",
+    "case": "inclined_plane_newbatch/1",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -3.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) f_k = μ_k·m·g\n  B) v² = v_0² + g·sinθ·s·(1 - μ_k·tanθ)\n  C) v² = v_0² + 2·a_slope·s\n  D) F = k·q_1·q_2 / r²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/inclined_plane/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) s = v_0·t·cosθ + (1/2)·g·sinθ·t²\n  B) f_k = μ_k·m·g\n  C) T = 2π·√(L/g)\n  D) v² = v_0² + 2·a_slope·s\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/inclined_plane_newbatch/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/8",
+    "case": "inclined_plane_newbatch/1",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -3.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/inclined_plane/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/inclined_plane_newbatch/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane/8",
+    "case": "inclined_plane_newbatch/1",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -3.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/inclined_plane/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = -0.5\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/inclined_plane_newbatch/1/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/9",
+    "case": "inclined_plane_newbatch/8",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = 0.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.0\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inclined_plane_newbatch/9/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 2.69, v_0 = 0.3\nStoneBlackCube: a = 1.0, h = 3.19, v_0 = -1.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inclined_plane_newbatch/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/9",
+    "case": "inclined_plane_newbatch/8",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = 0.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.0\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) E = (1/2)·L·I²\n  B) v_t = g·d²·(ρ_p - ρ_f) / (18·η)\n  C) a_slope = g·(sinθ - μ_k·cosθ)\n  D) F_net = m·g·(sin²θ - μ_k·cos²θ) / sinθ\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/inclined_plane_newbatch/9/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 2.69, v_0 = 0.3\nStoneBlackCube: a = 1.0, h = 3.19, v_0 = -1.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) N = m·g·(cosθ - μ_k·sinθ)²\n  B) v² = v_0² + 2·a_slope·s\n  C) U = -G·m_1·m_2 / r\n  D) h_cm·sinθ > (a/2)·cosθ\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/inclined_plane_newbatch/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/9",
+    "case": "inclined_plane_newbatch/8",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = 0.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.0\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/inclined_plane_newbatch/9/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 2.69, v_0 = 0.3\nStoneBlackCube: a = 1.0, h = 3.19, v_0 = -1.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/inclined_plane_newbatch/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/9",
+    "case": "inclined_plane_newbatch/8",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nWoodBeechCube: a = 1.0, h = 3.30, v_0 = 0.0\nStoneBlackCube: a = 1.0, h = 4.01, v_0 = 0.0\nRamp_0: theta = 45°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/inclined_plane_newbatch/9/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.6\nWoodBeechCube: a = 1.0, h = 2.69, v_0 = 0.3\nStoneBlackCube: a = 1.0, h = 3.19, v_0 = -1.0\nRamp_0: theta = 30°, H = 3.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/inclined_plane_newbatch/8/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/13",
+    "case": "inelastic_collision/1",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nStoneBlackCube: a = 1.0, h = 3.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inclined_plane_newbatch/13/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/13",
+    "case": "inelastic_collision/1",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nStoneBlackCube: a = 1.0, h = 3.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) v_t = g·d²·(ρ_p - ρ_f) / (18·η)\n  B) ΔU = q·ΔV\n  C) a_slope = g·(sinθ + μ_k·cosθ) / (1 + sinθ)\n  D) a_slope = g·(sinθ - μ_k·cosθ)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/inclined_plane_newbatch/13/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) U = -G·m_1·m_2 / r\n  B) e = (v_2f - v_1f) / (v_1i - v_2i)\n  C) ΔE_loss = (1/2)·e²·(m_1·m_2)/(m_1+m_2)·(v_1i + v_2i)²\n  D) W_f = ∫ μ_k·m·g·ds = ΔE_k\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/13",
+    "case": "inelastic_collision/1",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nStoneBlackCube: a = 1.0, h = 3.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nPredict the physical state at t = 1.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/inclined_plane_newbatch/13/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nPredict the physical state at t = 2.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inclined_plane_newbatch/13",
+    "case": "inelastic_collision/1",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nGround: mu_s=0.7, mu_k=0.5\nStoneBlackCube: a = 1.0, h = 3.83, v_0 = 0.0\nRamp_0: theta = 60°, H = 4.0, mu_s = 0.0, mu_k = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/inclined_plane_newbatch/13/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 2.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/inelastic_collision/1/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision/3",
+    "case": "inelastic_collision/2",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision/3",
+    "case": "inelastic_collision/2",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) v_1f = (m_1 - e·m_2)·v_1i / (m_1 + m_2) + v_2i·cosθ\n  B) σ = F/a² = E·ε\n  C) E = h·f\n  D) e = (v_2f - v_1f) / (v_1i - v_2i)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) ΔE = (1/2)·[(m_1·m_2) / (m_1 + m_2)]·(v_1i - v_2i)²\n  B) ΔE = (1/2)·m_1·m_2·e²·(v_1i - v_2i)² / (m_1 + m_2)\n  C) F = k·q_1·q_2 / r²\n  D) e = (v_2f - v_1f) / (v_1i - v_2i)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision/3",
+    "case": "inelastic_collision/2",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nPredict the physical state at t = 2.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nPredict the physical state at t = 2.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision/3",
+    "case": "inelastic_collision/2",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/inelastic_collision/3/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/inelastic_collision/2/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision/6",
+    "case": "inelastic_collision/3",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inelastic_collision/6/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision/6",
+    "case": "inelastic_collision/3",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n  B) v_cm = (m_1·v_1i² + m_2·v_2i²) / (m_1·v_1i + m_2·v_2i)\n  C) σ = F/a² = E·ε\n  D) T = 2π·√(m/k)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/inelastic_collision/6/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) v_1f = (m_1 - e·m_2)·v_1i / (m_1 + m_2) + v_2i·cosθ\n  B) σ = F/a² = E·ε\n  C) E = h·f\n  D) e = (v_2f - v_1f) / (v_1i - v_2i)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision/6",
+    "case": "inelastic_collision/3",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nPredict the physical state at t = 2.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/inelastic_collision/6/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nPredict the physical state at t = 2.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision/6",
+    "case": "inelastic_collision/3",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/inelastic_collision/6/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 1.5\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = -1.5\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/inelastic_collision/3/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/6",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inelastic_collision/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/6",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) e = 1 - ΔE / (m_1·v_1i² + m_2·v_2i²)\n  B) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n  C) E_rot = (1/2)·(1/6·m·a²)·ω²\n  D) PV = nRT\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n  B) v_cm = (m_1·v_1i² + m_2·v_2i²) / (m_1·v_1i + m_2·v_2i)\n  C) σ = F/a² = E·ε\n  D) T = 2π·√(m/k)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/inelastic_collision/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/6",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nPredict the physical state at t = 2.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nPredict the physical state at t = 2.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/inelastic_collision/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/0",
+    "case": "inelastic_collision/6",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.5\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.5\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/inelastic_collision_newbatch/0/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nGrogFiredClayCube: a = 2.0, e = 0.2, m = 16000.0, v_0 = 3.5\nWalnutCube: a = 2.0, e = 0.5, m = 5120.0, v_0 = 0.5\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/inelastic_collision/6/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/2",
+    "case": "inelastic_collision/9",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 2.0\nRightTireCube: a = 2.0, e = 0.6, m = 9600.0, v_0 = 2.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inelastic_collision_newbatch/2/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/2",
+    "case": "inelastic_collision/9",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 2.0\nRightTireCube: a = 2.0, e = 0.6, m = 9600.0, v_0 = 2.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) F = k·q_1·q_2 / r²\n  B) e = 1 - ΔE / (m_1·v_1i² + m_2·v_2i²)\n  C) W_f = ∫ μ_k·m·g·ds = ΔE_k\n  D) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/inelastic_collision_newbatch/2/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) σ = F/a² = E·ε\n  B) e = (v_2f - v_1f) / (v_1i - v_2i)\n  C) J = m_1·m_2·(v_1i - v_2i)·(1+e) / (m_1 + m_2) · sinθ\n  D) v = f·λ\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/2",
+    "case": "inelastic_collision/9",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 2.0\nRightTireCube: a = 2.0, e = 0.6, m = 9600.0, v_0 = 2.0\n\nPredict the physical state at t = 1.75 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/inelastic_collision_newbatch/2/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nPredict the physical state at t = 4.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 4.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/2",
+    "case": "inelastic_collision/9",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 2.0\nRightTireCube: a = 2.0, e = 0.6, m = 9600.0, v_0 = 2.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/inelastic_collision_newbatch/2/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nWalnutCube1: a = 2.0, e = 0.5, m = 5120.0, v_0 = 2.0\nOakCube: a = 2.0, e = 0.5, m = 6000.0, v_0 = 1.0\nCherryCube: a = 2.0, e = 0.5, m = 5040.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/inelastic_collision/9/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) v = f·λ\n  B) ΔE = (1/2)·[(m_1·m_2) / (m_1 + m_2)]·(v_1i - v_2i)²\n  C) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n  D) e = 1 - ΔE / (m_1·v_1i² + m_2·v_2i²)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) λ = h/(m·v)\n  B) ΔE = (1/2)·[(m_1·m_2) / (m_1 + m_2)]·(v_1i - v_2i)²\n  C) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n  D) J = m_1·m_2·(v_1i - v_2i)·(1+e) / (m_1 + m_2) · sinθ\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nPredict the physical state at t = 2.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nPredict the physical state at t = 1.75 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/11",
+    "case": "inelastic_collision_newbatch/7",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftConcreteRoughCube: a = 2.0, e = 0.5, m = 19200.0, v_0 = 3.2\nRightStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 1.2\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/inelastic_collision_newbatch/11/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftBronzeAntiqueCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.2\nRightBeechCube: a = 2.0, e = 0.4, m = 5760.0, v_0 = 2.5\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/inelastic_collision_newbatch/7/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) ΔE = (1/2)·[(m_1·m_2) / (m_1 + m_2)]·(v_1i - v_2i)²\n  B) v = f·λ\n  C) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n  D) ΔE_loss = (1/2)·e²·(m_1·m_2)/(m_1+m_2)·(v_1i + v_2i)²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n  B) B = μ_0·I / (2π·r)\n  C) ΔE = μ_k·m·g·d\n  D) v_2f = 2·m_1·v_1i·cosθ / (m_1 + m_2)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nPredict the physical state at t = 2.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nPredict the physical state at t = 2.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "inelastic_collision_newbatch/14",
+    "case": "perfectly_elastic_collision/2",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftStoneBlackCube: a = 2.0, e = 0.2, m = 24000.0, v_0 = 2.8\nRightBronzeHammeredCube: a = 2.0, e = 0.45, m = 70400.0, v_0 = 1.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/inelastic_collision_newbatch/14/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.5\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/perfectly_elastic_collision/2/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -931,7 +963,7 @@
     "case": "perfectly_elastic_collision/3",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -939,7 +971,7 @@
     "case": "perfectly_elastic_collision/3",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n  B) v_1f = v_1i · e^(-m_2/m_1) + v_2i·(1 - e^(-m_2/m_1))\n  C) v_2f - v_1f = e·(v_1i - v_2i)\n  D) L = I·ω\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -947,7 +979,7 @@
     "case": "perfectly_elastic_collision/3",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nPredict the physical state at t = 2.75 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -955,167 +987,167 @@
     "case": "perfectly_elastic_collision/3",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 1.5\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = -0.6\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/perfectly_elastic_collision/3/0000.png",
+    "image": "firstframe/perfectly_elastic_collision/3/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) F = k·q_1·q_2 / r²\n  B) ΔE = μ_k·m·g·d\n  C) v_2f = 2·m_1·v_1i·cosθ / (m_1 + m_2)\n  D) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) ΔE = μ_k·m·g·d\n  B) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n  C) λ = h/(m·v)\n  D) v_2f = 2·m_1·v_1i·cosθ / (m_1 + m_2)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nPredict the physical state at t = 4.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 4.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nPredict the physical state at t = 2.75 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision/9",
+    "case": "perfectly_elastic_collision/5",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/perfectly_elastic_collision/9/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = -1.5\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/perfectly_elastic_collision/5/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) n_1·sinθ_1 = n_2·sinθ_2\n  B) ∫ F(t) dt = Δ(mv)\n  C) v_1f = v_1i · e^(-m_2/m_1) + v_2i·(1 - e^(-m_2/m_1))\n  D) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) ∫ F(t) dt = Δ(mv)\n  B) v_1f = v_1i·(m_1² - m_2²) / (m_1 + m_2)²\n  C) λ = h/(m·v)\n  D) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nPredict the physical state at t = 2.75 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nPredict the physical state at t = 3.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 3.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/0",
+    "case": "perfectly_elastic_collision/7",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/0/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.6\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/perfectly_elastic_collision/7/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) I = I_cm + m·(a/2)²\n  B) F = k·q_1·q_2 / r²\n  C) E_k = (1/2)·(m_1·v_1i + m_2·v_2i)² / (m_1 + m_2)\n  D) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) I = I_cm + m·(a/2)²\n  B) v_2f = 2·m_1·v_1i·cosθ / (m_1 + m_2)\n  C) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n  D) F = k·q_1·q_2 / r²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nPredict the physical state at t = 2.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nPredict the physical state at t = 2.75 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/3",
+    "case": "perfectly_elastic_collision/8",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nBlueGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 3.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/3/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 2.4\nStainlessSteelCube: a = 2.0, e = 1.0, m = 63200.0, v_0 = 0.3\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/perfectly_elastic_collision/8/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) E_k = (1/2)·(m_1·v_1i + m_2·v_2i)² / (m_1 + m_2)\n  B) v_2f - v_1f = e·(v_1i - v_2i)\n  C) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n  D) Q = m·c·ΔT\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) F = k·q_1·q_2 / r²\n  B) ΔE = μ_k·m·g·d\n  C) v_2f = 2·m_1·v_1i·cosθ / (m_1 + m_2)\n  D) m_1·v_1i + m_2·v_2i = m_1·v_1f + m_2·v_2f\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nPredict the physical state at t = 2.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nPredict the physical state at t = 4.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 4.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/13",
+    "case": "perfectly_elastic_collision/9",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCubeLeft: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\nRedGlassCubeRight: a = 2.0, e = 1.0, m = 20000.0, v_0 = 1.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/13/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nStainlessSteelCube1: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.4\nRedGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\nBlueGlassCube: a = 2.0, e = 1.0, m = 20000.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/perfectly_elastic_collision/9/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) T = 2π·√(m/k)\n  B) v_cm = (m_1·v_1i² + m_2·v_2i²) / (2·(m_1·v_1i + m_2·v_2i))\n  C) ΔE = μ_k·m·g·d\n  D) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·m_1·v_1f² + (1/2)·m_2·v_2f²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) (1/2)·m_1·v_1i² + (1/2)·m_2·v_2i² = (1/2)·(m_1 + m_2)·v_f²\n  B) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  C) ΔE = (1/2)·(m_1·m_2)·(v_1i + v_2i)² / (m_1 + m_2)²\n  D) PV = nRT\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nPredict the physical state at t = 1.75 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nPredict the physical state at t = 1.75 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "perfectly_elastic_collision_newbatch/14",
+    "case": "perfectly_inelastic_collision/2",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nBlueGlassCubeLeft: a = 2.0, e = 1.0, m = 20000.0, v_0 = 4.0\nStainlessSteelCubeRight: a = 2.0, e = 1.0, m = 63200.0, v_0 = 2.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/perfectly_elastic_collision_newbatch/14/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 4.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/perfectly_inelastic_collision/2/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -1123,7 +1155,7 @@
     "case": "perfectly_inelastic_collision/5",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1131,7 +1163,7 @@
     "case": "perfectly_inelastic_collision/5",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) I = V / R\n  B) m = ρ·a³\n  C) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  D) ΔE_loss = m_1·m_2·(v_1i - v_2i) / (2·(m_1 + m_2))\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1139,7 +1171,7 @@
     "case": "perfectly_inelastic_collision/5",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nPredict the physical state at t = 2.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1147,7 +1179,7 @@
     "case": "perfectly_inelastic_collision/5",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = -0.5\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/perfectly_inelastic_collision/5/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/5/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -1155,7 +1187,7 @@
     "case": "perfectly_inelastic_collision/6",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1163,7 +1195,7 @@
     "case": "perfectly_inelastic_collision/6",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) ΔS = Q_rev / T\n  B) ΔE_loss = m_1·m_2·(v_1i - v_2i) / (2·(m_1 + m_2))\n  C) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  D) v_2f - v_1f = e·(v_1i - v_2i)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1171,7 +1203,7 @@
     "case": "perfectly_inelastic_collision/6",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nPredict the physical state at t = 3.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 3.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1179,7 +1211,7 @@
     "case": "perfectly_inelastic_collision/6",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 3.3\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 1.1\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/perfectly_inelastic_collision/6/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/6/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -1187,7 +1219,7 @@
     "case": "perfectly_inelastic_collision/7",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1195,7 +1227,7 @@
     "case": "perfectly_inelastic_collision/7",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) W_friction = μ_k·(m_1 + m_2)·g·d\n  B) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  C) E_k_f = (m_1²·v_1i² + m_2²·v_2i²) / (2·(m_1 + m_2))\n  D) ΔS = Q_rev / T\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1203,7 +1235,7 @@
     "case": "perfectly_inelastic_collision/7",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nPredict the physical state at t = 1.75 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1211,7 +1243,7 @@
     "case": "perfectly_inelastic_collision/7",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 5.5\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 1.1\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/perfectly_inelastic_collision/7/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/7/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -1219,7 +1251,7 @@
     "case": "perfectly_inelastic_collision/8",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1227,7 +1259,7 @@
     "case": "perfectly_inelastic_collision/8",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  B) ΔE_loss = m_1·m_2·(v_1i - v_2i) / (2·(m_1 + m_2))\n  C) F_b = ρ_f·g·V\n  D) m = ρ·a³\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1235,7 +1267,7 @@
     "case": "perfectly_inelastic_collision/8",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nPredict the physical state at t = 2.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1243,7 +1275,7 @@
     "case": "perfectly_inelastic_collision/8",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nMiddlePlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\nRightPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/perfectly_inelastic_collision/8/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision/8/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -1251,7 +1283,7 @@
     "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1259,7 +1291,7 @@
     "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) PV = nRT\n  B) v_f = (m_1·v_1i + m_2·v_2i)² / ((m_1 + m_2)·(v_1i + v_2i))\n  C) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  D) m = ρ·a³\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1267,7 +1299,7 @@
     "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nPredict the physical state at t = 2.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1275,39 +1307,7 @@
     "case": "perfectly_inelastic_collision_newbatch/1",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 3.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 2.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/0000.png",
-    "duration": 4,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision_newbatch/8",
-    "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
-    "duration": 8,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision_newbatch/8",
-    "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) W_friction = μ_k·(m_1 + m_2)·g·d\n  B) v_f² = (m_1·v_1i + m_2·v_2i)² / (m_1² + m_2²)\n  C) m_1·v_1i + m_2·v_2i = (m_1+m_2)·v_f\n  D) PV = nRT\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
-    "duration": 8,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision_newbatch/8",
-    "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nPredict the physical state at t = 1.75 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
-    "duration": 8,
-    "size": "1280x720"
-  },
-  {
-    "case": "perfectly_inelastic_collision_newbatch/8",
-    "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nLeftPlayDohCube: a = 2.0, e = 0.0, m = 10000.0, v_0 = 2.0\nRightPlayDohCube: a = 3.0, e = 0.0, m = 33750.0, v_0 = 0.0\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/perfectly_inelastic_collision_newbatch/8/0000.png",
+    "image": "firstframe/perfectly_inelastic_collision_newbatch/1/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -1315,7 +1315,7 @@
     "case": "projectile/1",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 8.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 0.0, 8.0)\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/projectile/1/0000.png",
+    "image": "firstframe/projectile/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1323,7 +1323,7 @@
     "case": "projectile/1",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 8.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 0.0, 8.0)\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) h_next = e²·h_current\n  B) B = μ_0·I / (2π·r)\n  C) y = h·cos(g·x / v_0²) + x·tanθ\n  D) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/projectile/1/0000.png",
+    "image": "firstframe/projectile/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1331,7 +1331,7 @@
     "case": "projectile/1",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 8.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 0.0, 8.0)\n\nPredict the physical state at t = 1.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/projectile/1/0000.png",
+    "image": "firstframe/projectile/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1339,39 +1339,39 @@
     "case": "projectile/1",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 8.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 0.0, 8.0)\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/projectile/1/0000.png",
+    "image": "firstframe/projectile/1/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "projectile/8",
+    "case": "projectile/10",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/projectile/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 2.0, v_0 = (0.0, 10.0, 6.0)\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/projectile/10/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "projectile/8",
+    "case": "projectile/10",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  B) a_n = v² / ρ\n  C) t_flight = 2·v_0·sin²θ / g\n  D) L = I·ω\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/projectile/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 2.0, v_0 = (0.0, 10.0, 6.0)\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) a_n = v² / ρ\n  B) v_x(t) = v_0·cosθ · e^(-g·t/v_0)\n  C) T = 2π·√(L/g)\n  D) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/projectile/10/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "projectile/8",
+    "case": "projectile/10",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nPredict the physical state at t = 0.75 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/projectile/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 2.0, v_0 = (0.0, 10.0, 6.0)\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/projectile/10/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "projectile/8",
+    "case": "projectile/10",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/projectile/8/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 2.0, v_0 = (0.0, 10.0, 6.0)\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/projectile/10/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -1379,7 +1379,7 @@
     "case": "projectile/12",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 2.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 3.0, v_0 = (0.0, 8.0, 4.0)\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/projectile/12/0000.png",
+    "image": "firstframe/projectile/12/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1387,7 +1387,7 @@
     "case": "projectile/12",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 2.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 3.0, v_0 = (0.0, 8.0, 4.0)\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) y = h·cos(g·x / v_0²) + x·tanθ\n  B) L = I·ω\n  C) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  D) m·g·h + (1/2)·m·v_0² = constant\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/projectile/12/0000.png",
+    "image": "firstframe/projectile/12/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1395,7 +1395,7 @@
     "case": "projectile/12",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 2.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 3.0, v_0 = (0.0, 8.0, 4.0)\n\nPredict the physical state at t = 0.75 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/projectile/12/0000.png",
+    "image": "firstframe/projectile/12/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1403,103 +1403,103 @@
     "case": "projectile/12",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 2.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 3.0, v_0 = (0.0, 8.0, 4.0)\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/projectile/12/0000.png",
+    "image": "firstframe/projectile/12/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/1",
+    "case": "projectile/7",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/projectile_newbatch/1/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 8.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 8.0, v_0 = (0.0, 12.0, 0.0)\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/projectile/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/1",
+    "case": "projectile/7",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  B) I = V / R\n  C) x(t) = v_0·t·cosθ · (1 - g·t/v_0)\n  D) m·g·h + (1/2)·m·v_0² = constant\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/projectile_newbatch/1/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 8.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 8.0, v_0 = (0.0, 12.0, 0.0)\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  B) ΔS = Q_rev / T\n  C) x(t) = v_0·t·cosθ · (1 - g·t/v_0)\n  D) h_next = e²·h_current\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/projectile/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/1",
+    "case": "projectile/7",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nPredict the physical state at t = 1.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/projectile_newbatch/1/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 8.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 8.0, v_0 = (0.0, 12.0, 0.0)\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/projectile/7/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/1",
+    "case": "projectile/7",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/projectile_newbatch/1/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 8.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 8.0, v_0 = (0.0, 12.0, 0.0)\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/projectile/7/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/4",
+    "case": "projectile/8",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/projectile/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/4",
+    "case": "projectile/8",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) h_next = e²·h_current\n  B) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  C) PV^γ = constant\n  D) x(t) = v_0·t·cosθ · (1 - g·t/v_0)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  B) a_n = v² / ρ\n  C) t_flight = 2·v_0·sin²θ / g\n  D) L = I·ω\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/projectile/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/4",
+    "case": "projectile/8",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nPredict the physical state at t = 2.5 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.5 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nPredict the physical state at t = 0.75 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 0.75 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/projectile/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/4",
+    "case": "projectile/8",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.35, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 0.0, 3.5)\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/projectile_newbatch/4/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/projectile/8/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/9",
+    "case": "projectile_newbatch/1",
     "track": "perception_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.31, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 4.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 4.0, 6.0)\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/projectile_newbatch/9/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
+    "image": "firstframe/projectile_newbatch/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/9",
+    "case": "projectile_newbatch/1",
     "track": "comprehension_text",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.31, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 4.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 4.0, 6.0)\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) m·g·h + (1/2)·m·v_0² = constant\n  B) y = h·cos(g·x / v_0²) + x·tanθ\n  C) ΔU = q·ΔV\n  D) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/projectile_newbatch/9/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)\n  B) I = V / R\n  C) x(t) = v_0·t·cosθ · (1 - g·t/v_0)\n  D) m·g·h + (1/2)·m·v_0² = constant\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
+    "image": "firstframe/projectile_newbatch/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/9",
+    "case": "projectile_newbatch/1",
     "track": "comprehension_graphic",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.31, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 4.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 4.0, 6.0)\n\nPredict the physical state at t = 1.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/projectile_newbatch/9/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nPredict the physical state at t = 1.25 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 1.25 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
+    "image": "firstframe/projectile_newbatch/1/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
   {
-    "case": "projectile_newbatch/9",
+    "case": "projectile_newbatch/1",
     "track": "generation",
-    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-1.31, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 4.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 1.0, v_0 = (0.0, 4.0, 6.0)\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/projectile_newbatch/9/0000.png",
+    "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-3.71, F_drag=0.0\nCopperSphere: d = 2.0, e = 0.45, h = 1.0, v_0 = (0.0, 6.0, 5.0)\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
+    "image": "firstframe/projectile_newbatch/1/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -1507,7 +1507,7 @@
     "case": "uniform_linear/2",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1515,7 +1515,7 @@
     "case": "uniform_linear/2",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) P = ρ·g·h\n  B) x(t) = x_0 + v_0·t\n  C) F_D = (1/2)·C_d·ρ·a²·v²\n  D) x(t) = x_0 + v_0·t + (v_0²/c²)·t²\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1523,7 +1523,7 @@
     "case": "uniform_linear/2",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nPredict the physical state at t = 2.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1531,7 +1531,7 @@
     "case": "uniform_linear/2",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (0.0, 2.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (0.0, -2.0, 0.0)\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/uniform_linear/2/0000.png",
+    "image": "firstframe/uniform_linear/2/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -1539,7 +1539,7 @@
     "case": "uniform_linear/6",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1547,7 +1547,7 @@
     "case": "uniform_linear/6",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) T = 2π·√(L/g)\n  B) p = m·v_0 · ln(1 + t/τ)\n  C) F_push ≤ μ_s·m·g\n  D) x(t) = x_0 + v_0·t\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1555,7 +1555,7 @@
     "case": "uniform_linear/6",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nPredict the physical state at t = 2.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1563,7 +1563,7 @@
     "case": "uniform_linear/6",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 3.0, v_0 = (1.0, -1.73, 0.0)\nRoughlyWovenCube: a = 3.0, v_0 = (-2.0, 0.0, 0.0)\nFeltPlainCube: a = 3.0, v_0 = (1.0, 1.73, 0.0)\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/uniform_linear/6/0000.png",
+    "image": "firstframe/uniform_linear/6/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   },
@@ -1571,7 +1571,7 @@
     "case": "uniform_linear/8",
     "track": "perception_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (2.0, 0.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (1.0, 1.73, 0.0)\nFeltPlainCube: a = 2.0, v_0 = (-1.0, 1.73, 0.0)\nPiqueWeaveCube: a = 2.0, v_0 = (-2.0, 0.0, 0.0)\n\nGenerate a video where the background, ground, sky, and all annotations (coordinate axes, velocity arrows) gradually fade to pure white, while the subject physical objects remain still and unchanged. Static camera, no zoom, no rotation. The final frame should show only the objects with labeled physical properties on white — remove supporting structures (ramps, tracks, rails, platforms). Do not transform, resize, or replace any object. Each object must retain its exact position, size, shape, color, and texture.",
-    "image": "firstframe/uniform_linear/8/0000.png",
+    "image": "firstframe/uniform_linear/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1579,7 +1579,7 @@
     "case": "uniform_linear/8",
     "track": "comprehension_text",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (2.0, 0.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (1.0, 1.73, 0.0)\nFeltPlainCube: a = 2.0, v_0 = (-1.0, 1.73, 0.0)\nPiqueWeaveCube: a = 2.0, v_0 = (-2.0, 0.0, 0.0)\n\nBelow are 4 candidate formulas. Exactly ONE is correct:\n  A) v = f·λ\n  B) x(t) = x_0 + v_0·t\n  C) x = v_0²·t / (2·x_0)\n  D) F_push ≤ μ_s·m·g\n\nGenerate a video ending on a white background with THREE lines of large, clearly readable, centered text:\n  Line 1: the correct option letter (A/B/C/D).\n  Line 2: the correct formula exactly as written above.\n  Line 3: the formula with annotated values substituted in from the parameters above.\n\nWhen substituting: if multiple objects exist, pick one consistent set.",
-    "image": "firstframe/uniform_linear/8/0000.png",
+    "image": "firstframe/uniform_linear/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1587,7 +1587,7 @@
     "case": "uniform_linear/8",
     "track": "comprehension_graphic",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (2.0, 0.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (1.0, 1.73, 0.0)\nFeltPlainCube: a = 2.0, v_0 = (-1.0, 1.73, 0.0)\nPiqueWeaveCube: a = 2.0, v_0 = (-2.0, 0.0, 0.0)\n\nPredict the physical state at t = 2.0 s. Generate a video where the original annotations (coordinate axes and any initial velocity arrows) gradually fade out and cleanly disappear, while the background, ground, sky, and all scene lighting remain completely unchanged throughout. Objects move smoothly to their correct positions at t = 2.0 s — each object must retain its exact texture, material, size, and shape. For each moving object, draw a borderless orange arrow starting from the object's center pointing in its velocity direction, with a label \"v = X.XX\" (speed value, no unit). If at rest, show \"v = 0\" with no arrow. Static camera, no zoom, no rotation.",
-    "image": "firstframe/uniform_linear/8/0000.png",
+    "image": "firstframe/uniform_linear/8/rgb_0000.png",
     "duration": 8,
     "size": "1280x720"
   },
@@ -1595,7 +1595,7 @@
     "case": "uniform_linear/8",
     "track": "generation",
     "prompt": "The first frame is the initial state of a 3D physics scene. It contains: the physical objects, the background and ground, coordinate axes and any initial velocity arrows on moving objects. The physical parameters of this scene are described as follows:\nEnvironment: g=-9.81, F_drag=0.0\nGround: mu_s=0.0, mu_k=0.0\nDenimCube: a = 2.0, v_0 = (2.0, 0.0, 0.0)\nRoughlyWovenCube: a = 2.0, v_0 = (1.0, 1.73, 0.0)\nFeltPlainCube: a = 2.0, v_0 = (-1.0, 1.73, 0.0)\nPiqueWeaveCube: a = 2.0, v_0 = (-2.0, 0.0, 0.0)\n\nGenerate 4 seconds of physically accurate motion strictly following these parameters. Every object AND the ground surface are perfectly rigid — nothing breaks, cracks, deforms, or creates craters. Each object maintains its exact material, color, and texture throughout. The coordinate axes and any initial velocity arrows must cleanly disappear after the first frame. Static camera, fixed background. Smooth, continuous motion.",
-    "image": "firstframe/uniform_linear/8/0000.png",
+    "image": "firstframe/uniform_linear/8/rgb_0000.png",
     "duration": 4,
     "size": "1280x720"
   }
diff --git a/firstframe/at_rest/0/rgb_0000.png b/firstframe/at_rest/0/rgb_0000.png
new file mode 100644
index 0000000000000000000000000000000000000000..f641ef3ee9f5bd2bd48ce30415eb7d208cd25d46
--- /dev/null
+++ b/firstframe/at_rest/0/rgb_0000.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:113e9861ea85f71819dd0e449ac0ba0be04cbf6cfc2e3c9e3373d19c70958b74
+size 1706167
diff --git a/firstframe/at_rest/2/0000.png b/firstframe/at_rest/2/0000.png
deleted file mode 100644
index 072cb2b2949fbe8d4b0739b5b025267949bf4fa0..0000000000000000000000000000000000000000
--- a/firstframe/at_rest/2/0000.png
+++ /dev/null
@@ -1,3 +0,0 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:b82c0dc0568eae1e9757c585518a515de902c1e8ea098f2075c18592fb866440
-size 1751387
diff --git a/firstframe/at_rest/2/rgb_0000.png b/firstframe/at_rest/2/rgb_0000.png
new file mode 100644
index 0000000000000000000000000000000000000000..e3481aebb89280049e10c251acf43b41e31783a4
--- /dev/null
+++ b/firstframe/at_rest/2/rgb_0000.png
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