Spaces:
Running
Running
Add 3 files
Browse files- README.md +6 -4
- index.html +371 -19
- prompts.txt +1 -0
README.md
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---
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title:
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emoji:
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colorFrom: purple
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colorTo:
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sdk: static
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pinned: false
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---
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Check out the configuration reference at https://huggingface.co/docs/hub/spaces-config-reference
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---
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title: projectile
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emoji: 🐳
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colorFrom: purple
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colorTo: green
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sdk: static
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pinned: false
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tags:
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- deepsite
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---
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Check out the configuration reference at https://huggingface.co/docs/hub/spaces-config-reference
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index.html
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<!
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<html>
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| 1 |
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>Projectile Motion Learning App</title>
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<script src="https://cdn.tailwindcss.com"></script>
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<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.0/css/all.min.css">
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<style>
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.projectile-path {
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height: 250px;
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position: relative;
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overflow: hidden;
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}
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.projectile {
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width: 20px;
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height: 20px;
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background-color: #3B82F6;
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border-radius: 50%;
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position: absolute;
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bottom: 0;
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left: 5%;
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transition: all 0.1s linear;
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}
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.ground {
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position: absolute;
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bottom: 0;
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width: 100%;
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height: 2px;
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background-color: #555;
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}
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#animationCanvas {
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width: 100%;
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height: 100%;
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}
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</style>
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</head>
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<body class="bg-gray-100 min-h-screen">
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<div class="container mx-auto px-4 py-8">
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<header class="text-center mb-12">
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<h1 class="text-4xl font-bold text-blue-600 mb-2">Projectile Motion Master</h1>
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<p class="text-gray-600 text-lg">Learn, calculate, and visualize projectile motion problems</p>
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</header>
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<div class="grid grid-cols-1 lg:grid-cols-3 gap-8">
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<!-- Theory Section -->
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<div class="bg-white rounded-lg shadow-lg p-6">
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<h2 class="text-2xl font-semibold text-blue-600 mb-4 border-b pb-2">Theory</h2>
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<div class="space-y-4">
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<div class="bg-blue-50 p-4 rounded">
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<h3 class="font-medium text-blue-800">What is Projectile Motion?</h3>
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<p class="text-gray-700 mt-2">Projectile motion is the motion of an object thrown or projected into the air, subject only to acceleration as a result of gravity.</p>
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</div>
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<div class="bg-blue-50 p-4 rounded">
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<h3 class="font-medium text-blue-800">Key Equations</h3>
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<ul class="list-disc pl-5 mt-2 space-y-1 text-gray-700">
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<li><strong>Horizontal motion:</strong> x = v₀cosθ × t</li>
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<li><strong>Vertical motion:</strong> y = v₀sinθ × t - ½gt²</li>
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<li><strong>Time of flight:</strong> T = (2v₀sinθ)/g</li>
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<li><strong>Maximum height:</strong> H = (v₀²sin²θ)/2g</li>
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<li><strong>Range:</strong> R = (v₀²sin2θ)/g</li>
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</ul>
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</div>
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<div class="bg-blue-50 p-4 rounded">
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<h3 class="font-medium text-blue-800">Parameters</h3>
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<ul class="list-disc pl-5 mt-2 space-y-1 text-gray-700">
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<li><strong>v₀</strong> = initial velocity (m/s)</li>
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<li><strong>θ</strong> = projection angle (degrees)</li>
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<li><strong>g</strong> = acceleration due to gravity (9.8 m/s²)</li>
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<li><strong>t</strong> = time (s)</li>
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</ul>
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</div>
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</div>
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</div>
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<!-- Calculator Section -->
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<div class="bg-white rounded-lg shadow-lg p-6">
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<h2 class="text-2xl font-semibold text-blue-600 mb-4 border-b pb-2">Problem Solver</h2>
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<div class="space-y-4">
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<div>
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<label for="velocity" class="block text-sm font-medium text-gray-700">Initial Velocity (m/s)</label>
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<input type="number" id="velocity" min="0" value="20" class="mt-1 block w-full px-3 py-2 border border-gray-300 rounded-md shadow-sm focus:outline-none focus:ring-blue-500 focus:border-blue-500">
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</div>
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<div>
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<label for="angle" class="block text-sm font-medium text-gray-700">Projection Angle (degrees)</label>
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<input type="number" id="angle" min="0" max="90" value="45" class="mt-1 block w-full px-3 py-2 border border-gray-300 rounded-md shadow-sm focus:outline-none focus:ring-blue-500 focus:border-blue-500">
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</div>
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<div>
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<label for="height" class="block text-sm font-medium text-gray-700">Initial Height (m)</label>
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<input type="number" id="height" min="0" value="0" class="mt-1 block w-full px-3 py-2 border border-gray-300 rounded-md shadow-sm focus:outline-none focus:ring-blue-500 focus:border-blue-500">
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</div>
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<button onclick="calculateProjectile()" class="w-full bg-blue-600 hover:bg-blue-700 text-white font-bold py-2 px-4 rounded-md transition duration-300">
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Calculate
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</button>
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<div id="results" class="hidden space-y-2 mt-4 border-t pt-4">
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<h3 class="font-semibold text-gray-800">Results:</h3>
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<p id="timeOfFlight" class="text-gray-700"></p>
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<p id="maxHeight" class="text-gray-700"></p>
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<p id="range" class="text-gray-700"></p>
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<div class="pt-4">
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<button onclick="shareResults()" class="w-full flex items-center justify-center bg-green-500 hover:bg-green-600 text-white font-bold py-2 px-4 rounded-md transition duration-300">
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<i class="fab fa-whatsapp mr-2"></i> Share on WhatsApp
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| 109 |
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</button>
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| 110 |
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</div>
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| 111 |
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</div>
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| 112 |
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</div>
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</div>
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<!-- Visualization Section -->
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<div class="bg-white rounded-lg shadow-lg p-6">
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| 117 |
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<h2 class="text-2xl font-semibold text-blue-600 mb-4 border-b pb-2">Visualization</h2>
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| 118 |
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<div class="projectile-path bg-gray-50 rounded-md mb-4" id="projectileContainer">
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| 119 |
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<div class="ground"></div>
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| 120 |
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<div class="projectile" id="projectile"></div>
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| 121 |
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</div>
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| 122 |
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<div class="flex justify-center">
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| 123 |
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<button onclick="animateProjectile()" class="bg-blue-600 hover:bg-blue-700 text-white font-bold py-2 px-8 rounded-md transition duration-300">
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| 124 |
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Animate
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| 125 |
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</button>
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| 126 |
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</div>
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| 127 |
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</div>
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| 128 |
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</div>
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| 129 |
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| 130 |
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<!-- Practice Problems Section -->
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| 131 |
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<div class="mt-16 bg-white rounded-lg shadow-lg p-6">
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| 132 |
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<h2 class="text-2xl font-semibold text-blue-600 mb-4 border-b pb-2">Practice Problems</h2>
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| 133 |
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<div class="grid grid-cols-1 md:grid-cols-2 gap-6">
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| 134 |
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<div class="bg-gray-50 p-4 rounded-lg border border-gray-200">
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| 135 |
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<h3 class="font-medium text-blue-700">Problem 1</h3>
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| 136 |
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<p class="text-gray-700 mt-2">A ball is thrown with an initial velocity of 15 m/s at an angle of 30° to the horizontal. Calculate the maximum height reached and the horizontal distance traveled.</p>
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<button onclick="loadSolution(1)" class="mt-3 text-blue-600 hover:text-blue-800 text-sm font-medium">Show Solution</button>
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| 138 |
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<div id="solution1" class="hidden mt-3 bg-blue-50 p-3 rounded text-sm text-gray-700"></div>
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| 139 |
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</div>
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| 140 |
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| 141 |
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<div class="bg-gray-50 p-4 rounded-lg border border-gray-200">
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<h3 class="font-medium text-blue-700">Problem 2</h3>
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| 143 |
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<p class="text-gray-700 mt-2">A stone is thrown from a cliff 20 meters high with a velocity of 25 m/s at 15° above the horizontal. How long does it take to hit the ground?</p>
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| 144 |
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<button onclick="loadSolution(2)" class="mt-3 text-blue-600 hover:text-blue-800 text-sm font-medium">Show Solution</button>
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| 145 |
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<div id="solution2" class="hidden mt-3 bg-blue-50 p-3 rounded text-sm text-gray-700"></div>
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</div>
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| 147 |
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| 148 |
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<div class="bg-gray-50 p-4 rounded-lg border border-gray-200">
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<h3 class="font-medium text-blue-700">Problem 3</h3>
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| 150 |
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<p class="text-gray-700 mt-2">A projectile is launched at 60° with the horizontal and lands 100 meters away. What was the initial velocity?</p>
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| 151 |
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<button onclick="loadSolution(3)" class="mt-3 text-blue-600 hover:text-blue-800 text-sm font-medium">Show Solution</button>
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| 152 |
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<div id="solution3" class="hidden mt-3 bg-blue-50 p-3 rounded text-sm text-gray-700"></div>
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| 153 |
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</div>
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| 154 |
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| 155 |
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<div class="bg-gray-50 p-4 rounded-lg border border-gray-200">
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| 156 |
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<h3 class="font-medium text-blue-700">Problem 4</h3>
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| 157 |
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<p class="text-gray-700 mt-2">At what angle should you throw a ball to achieve the maximum range? Prove mathematically.</p>
|
| 158 |
+
<button onclick="loadSolution(4)" class="mt-3 text-blue-600 hover:text-blue-800 text-sm font-medium">Show Solution</button>
|
| 159 |
+
<div id="solution4" class="hidden mt-3 bg-blue-50 p-3 rounded text-sm text-gray-700"></div>
|
| 160 |
+
</div>
|
| 161 |
+
</div>
|
| 162 |
+
</div>
|
| 163 |
+
</div>
|
| 164 |
+
|
| 165 |
+
<script>
|
| 166 |
+
// Constants
|
| 167 |
+
const g = 9.8; // acceleration due to gravity in m/s²
|
| 168 |
+
let animationId;
|
| 169 |
+
|
| 170 |
+
// Calculate projectile motion parameters
|
| 171 |
+
function calculateProjectile() {
|
| 172 |
+
const v0 = parseFloat(document.getElementById('velocity').value);
|
| 173 |
+
const angle = parseFloat(document.getElementById('angle').value);
|
| 174 |
+
const h0 = parseFloat(document.getElementById('height').value);
|
| 175 |
+
|
| 176 |
+
if (isNaN(v0) || isNaN(angle) || isNaN(h0) || v0 <= 0 || angle < 0 || angle > 90 || h0 < 0) {
|
| 177 |
+
alert('Please enter valid positive values.\nAngle must be between 0 and 90 degrees.');
|
| 178 |
+
return;
|
| 179 |
+
}
|
| 180 |
+
|
| 181 |
+
const angleRad = angle * Math.PI / 180;
|
| 182 |
+
const v0x = v0 * Math.cos(angleRad);
|
| 183 |
+
const v0y = v0 * Math.sin(angleRad);
|
| 184 |
+
|
| 185 |
+
// Calculate time of flight (quadratic equation)
|
| 186 |
+
const a = -g / 2;
|
| 187 |
+
const b = v0y;
|
| 188 |
+
const c = h0;
|
| 189 |
+
|
| 190 |
+
// Quadratic formula (take the positive root)
|
| 191 |
+
const timeOfFlight = (-b - Math.sqrt(b*b - 4*a*c)) / (2*a);
|
| 192 |
+
|
| 193 |
+
// Maximum height
|
| 194 |
+
const maxHeight = h0 + (v0y * v0y) / (2 * g);
|
| 195 |
+
|
| 196 |
+
// Horizontal range
|
| 197 |
+
const range = v0x * timeOfFlight;
|
| 198 |
+
|
| 199 |
+
// Display results
|
| 200 |
+
document.getElementById('timeOfFlight').textContent = `Time of flight: ${timeOfFlight.toFixed(2)} seconds`;
|
| 201 |
+
document.getElementById('maxHeight').textContent = `Maximum height: ${maxHeight.toFixed(2)} meters`;
|
| 202 |
+
document.getElementById('range').textContent = `Horizontal range: ${range.toFixed(2)} meters`;
|
| 203 |
+
document.getElementById('results').classList.remove('hidden');
|
| 204 |
+
|
| 205 |
+
// Store results for sharing
|
| 206 |
+
sessionStorage.setItem('projectileResults', JSON.stringify({
|
| 207 |
+
velocity: v0,
|
| 208 |
+
angle: angle,
|
| 209 |
+
initialHeight: h0,
|
| 210 |
+
timeOfFlight: timeOfFlight.toFixed(2),
|
| 211 |
+
maxHeight: maxHeight.toFixed(2),
|
| 212 |
+
range: range.toFixed(2)
|
| 213 |
+
}));
|
| 214 |
+
}
|
| 215 |
+
|
| 216 |
+
// Animate projectile motion
|
| 217 |
+
function animateProjectile() {
|
| 218 |
+
const v0 = parseFloat(document.getElementById('velocity').value);
|
| 219 |
+
const angle = parseFloat(document.getElementById('angle').value);
|
| 220 |
+
const h0 = parseFloat(document.getElementById('height').value);
|
| 221 |
+
|
| 222 |
+
if (isNaN(v0) || isNaN(angle) || isNaN(h0) || v0 <= 0 || angle < 0 || angle > 90 || h0 < 0) {
|
| 223 |
+
alert('Please enter valid positive values first by clicking Calculate.\nAngle must be between 0 and 90 degrees.');
|
| 224 |
+
return;
|
| 225 |
+
}
|
| 226 |
+
|
| 227 |
+
const projectile = document.getElementById('projectile');
|
| 228 |
+
const container = document.getElementById('projectileContainer');
|
| 229 |
+
const containerWidth = container.clientWidth;
|
| 230 |
+
const containerHeight = container.clientHeight;
|
| 231 |
+
|
| 232 |
+
const angleRad = angle * Math.PI / 180;
|
| 233 |
+
const v0x = v0 * Math.cos(angleRad);
|
| 234 |
+
const v0y = v0 * Math.sin(angleRad);
|
| 235 |
+
|
| 236 |
+
// Calculate time of flight (same as in calculateProjectile)
|
| 237 |
+
const a = -g / 2;
|
| 238 |
+
const b = v0y;
|
| 239 |
+
const c = h0;
|
| 240 |
+
const timeOfFlight = (-b - Math.sqrt(b*b - 4*a*c)) / (2*a);
|
| 241 |
+
|
| 242 |
+
// Clear previous animation if any
|
| 243 |
+
if (animationId) {
|
| 244 |
+
cancelAnimationFrame(animationId);
|
| 245 |
+
}
|
| 246 |
+
|
| 247 |
+
// Scale factor to fit animation in container
|
| 248 |
+
const maxRange = v0x * timeOfFlight;
|
| 249 |
+
const maxHeight = h0 + (v0y * v0y) / (2 * g);
|
| 250 |
+
const xScale = (containerWidth * 0.8) / maxRange;
|
| 251 |
+
const yScale = (containerHeight * 0.8) / Math.max(maxHeight, h0);
|
| 252 |
+
|
| 253 |
+
let t = 0;
|
| 254 |
+
const dt = timeOfFlight / 100; // small time increments
|
| 255 |
+
|
| 256 |
+
function frame() {
|
| 257 |
+
if (t <= timeOfFlight) {
|
| 258 |
+
const x = v0x * t;
|
| 259 |
+
const y = h0 + v0y * t - 0.5 * g * t * t;
|
| 260 |
+
|
| 261 |
+
// Scale and position projectile (flip y-coordinate because CSS y increases downward)
|
| 262 |
+
projectile.style.left = `${5 + x * xScale}px`;
|
| 263 |
+
projectile.style.bottom = `${y * yScale}px`;
|
| 264 |
+
|
| 265 |
+
t += dt;
|
| 266 |
+
animationId = requestAnimationFrame(frame);
|
| 267 |
+
} else {
|
| 268 |
+
// Animation complete
|
| 269 |
+
projectile.style.left = '5%';
|
| 270 |
+
projectile.style.bottom = '0%';
|
| 271 |
+
}
|
| 272 |
+
}
|
| 273 |
+
|
| 274 |
+
// Start animation
|
| 275 |
+
frame();
|
| 276 |
+
}
|
| 277 |
+
|
| 278 |
+
// Share results on WhatsApp
|
| 279 |
+
function shareResults() {
|
| 280 |
+
const storedResults = sessionStorage.getItem('projectileResults');
|
| 281 |
+
if (!storedResults) {
|
| 282 |
+
alert('Please calculate results first.');
|
| 283 |
+
return;
|
| 284 |
+
}
|
| 285 |
+
|
| 286 |
+
const results = JSON.parse(storedResults);
|
| 287 |
+
const message = `Check out my projectile motion calculations!%0A%0AInitial Velocity: ${results.velocity} m/s%0AProjection Angle: ${results.angle}°%0AInitial Height: ${results.initialHeight} m%0A%0ATime of Flight: ${results.timeOfFlight} s%0AMaximum Height: ${results.maxHeight} m%0ARange: ${results.range} m%0A%0ACalculated using Projectile Motion Master app.`;
|
| 288 |
+
|
| 289 |
+
const url = `https://wa.me/?text=${message}`;
|
| 290 |
+
window.open(url, '_blank');
|
| 291 |
+
}
|
| 292 |
+
|
| 293 |
+
// Load practice problem solutions
|
| 294 |
+
function loadSolution(problemNum) {
|
| 295 |
+
const solutionDiv = document.getElementById(`solution${problemNum}`);
|
| 296 |
+
|
| 297 |
+
if (solutionDiv.classList.contains('hidden')) {
|
| 298 |
+
let solutionText = '';
|
| 299 |
+
|
| 300 |
+
switch(problemNum) {
|
| 301 |
+
case 1:
|
| 302 |
+
solutionText = `
|
| 303 |
+
<p class="font-medium">Given:</p>
|
| 304 |
+
<p>v₀ = 15 m/s, θ = 30°, g = 9.8 m/s²</p>
|
| 305 |
+
|
| 306 |
+
<p class="font-medium mt-2">1. Maximum height:</p>
|
| 307 |
+
<p>H = (v₀²sin²θ)/2g</p>
|
| 308 |
+
<p>H = (15² × sin²30°)/19.6</p>
|
| 309 |
+
<p>H = (225 × 0.25)/19.6 ≈ 2.87 m</p>
|
| 310 |
+
|
| 311 |
+
<p class="font-medium mt-2">2. Horizontal range:</p>
|
| 312 |
+
<p>R = (v₀²sin2θ)/g</p>
|
| 313 |
+
<p>R = (15² × sin60°)/9.8</p>
|
| 314 |
+
<p>R = (225 × 0.866)/9.8 ≈ 19.88 m</p>
|
| 315 |
+
`;
|
| 316 |
+
break;
|
| 317 |
+
case 2:
|
| 318 |
+
solutionText = `
|
| 319 |
+
<p class="font-medium">Given:</p>
|
| 320 |
+
<p>v₀ = 25 m/s, θ = 15°, h₀ = 20 m, g = 9.8 m/s²</p>
|
| 321 |
+
|
| 322 |
+
<p class="font-medium mt-2">Vertical motion equation:</p>
|
| 323 |
+
<p>y = h₀ + v₀sinθ × t - ½gt²</p>
|
| 324 |
+
<p>At landing, y = 0:</p>
|
| 325 |
+
<p>0 = 20 + 25sin15° × t - 4.9t²</p>
|
| 326 |
+
<p>0 = 20 + 6.47t - 4.9t²</p>
|
| 327 |
+
|
| 328 |
+
<p class="mt-2">Solve quadratic equation:</p>
|
| 329 |
+
<p>t = [-6.47 ± √(6.47² + 4×4.9×20)] / (-9.8)</p>
|
| 330 |
+
<p>t = [-6.47 ± 20.46] / -9.8</p>
|
| 331 |
+
<p>Positive solution: t ≈ 2.75 seconds</p>
|
| 332 |
+
`;
|
| 333 |
+
break;
|
| 334 |
+
case 3:
|
| 335 |
+
solutionText = `
|
| 336 |
+
<p class="font-medium">Given:</p>
|
| 337 |
+
<p>θ = 60°, R = 100 m, g = 9.8 m/s²</p>
|
| 338 |
+
|
| 339 |
+
<p class="font-medium mt-2">Range equation:</p>
|
| 340 |
+
<p>R = (v₀²sin2θ)/g</p>
|
| 341 |
+
<p>100 = (v₀² × sin120°)/9.8</p>
|
| 342 |
+
<p>100 = (v₀² × 0.866)/9.8</p>
|
| 343 |
+
<p>v₀² = (100 × 9.8)/0.866 ≈ 1131.6</p>
|
| 344 |
+
<p>v₀ ≈ √1131.6 ≈ 33.64 m/s</p>
|
| 345 |
+
`;
|
| 346 |
+
break;
|
| 347 |
+
case 4:
|
| 348 |
+
solutionText = `
|
| 349 |
+
<p class="font-medium">Maximum range occurs at 45°</p>
|
| 350 |
+
|
| 351 |
+
<p class="font-medium mt-2">Proof:</p>
|
| 352 |
+
<p>Range equation: R = (v₀²sin2θ)/g</p>
|
| 353 |
+
<p>To maximize R, maximize sin2θ</p>
|
| 354 |
+
<p>Maximum value of sin2θ is 1 when 2θ = 90°</p>
|
| 355 |
+
<p>Therefore θ = 45° gives maximum range</p>
|
| 356 |
+
|
| 357 |
+
<p class="mt-2">At 45°:</p>
|
| 358 |
+
<p>R<sub>max</sub> = v₀²/g</p>
|
| 359 |
+
`;
|
| 360 |
+
break;
|
| 361 |
+
}
|
| 362 |
+
|
| 363 |
+
solutionDiv.innerHTML = solutionText;
|
| 364 |
+
solutionDiv.classList.remove('hidden');
|
| 365 |
+
} else {
|
| 366 |
+
solutionDiv.classList.add('hidden');
|
| 367 |
+
}
|
| 368 |
+
}
|
| 369 |
+
</script>
|
| 370 |
+
<p style="border-radius: 8px; text-align: center; font-size: 12px; color: #fff; margin-top: 16px;position: fixed; left: 8px; bottom: 8px; z-index: 10; background: rgba(0, 0, 0, 0.8); padding: 4px 8px;">Made with <img src="https://enzostvs-deepsite.hf.space/logo.svg" alt="DeepSite Logo" style="width: 16px; height: 16px; vertical-align: middle;display:inline-block;margin-right:3px;filter:brightness(0) invert(1);"><a href="https://enzostvs-deepsite.hf.space" style="color: #fff;text-decoration: underline;" target="_blank" >DeepSite</a> - 🧬 <a href="https://enzostvs-deepsite.hf.space?remix=AARIFSHABIR/projectile" style="color: #fff;text-decoration: underline;" target="_blank" >Remix</a></p></body>
|
| 371 |
+
</html>
|
prompts.txt
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
Make app for learning and solving numericals based on projectile motion and how to share it on whatsapp
|