diff --git "a/bench_ablation/unified.json" "b/bench_ablation/unified.json" --- "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" }