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<title>Kinematics Master: Motion in One Dimension</title>
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<h1 class="text-lg font-bold text-white tracking-tight">
Kinematics<span class="text-brand-400">Master</span>
</h1>
<p class="text-xs text-slate-400">Class 11 Physics | NEET & JEE Prep</p>
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Built with anycoder
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Interactive Learning Module
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Master
<span class="text-transparent bg-clip-text bg-gradient-to-r from-brand-400 via-cyan-400 to-violet-400 animate-float inline-block">Motion in One Dimension</span>
</h2>
<p class="max-w-2xl mx-auto text-lg text-slate-400 leading-relaxed">
Solve complex kinematics problems instantly. Visualize velocity, acceleration, and displacement with our interactive simulator. Designed for competitive exam aspirants.
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<i class="fa-solid fa-calculator mr-2"></i> Start Solving
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<i class="fa-solid fa-play mr-2"></i> Try Simulator
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<h3 class="text-xl font-bold text-white">Core Concepts</h3>
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</div>
<div>
<h4 class="text-white font-semibold mb-1">Distance vs Displacement</h4>
<p class="text-sm text-slate-400">Distance is scalar (path length), Displacement is vector (change in position).</p>
</div>
</li>
<li class="flex items-start gap-4 p-4 rounded-xl bg-slate-800/30 border border-slate-700/30 hover:bg-slate-800/50 transition-colors">
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<i class="fa-solid fa-gauge-high text-blue-400 text-sm"></i>
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<div>
<h4 class="text-white font-semibold mb-1">Speed vs Velocity</h4>
<p class="text-sm text-slate-400">Speed is scalar (distance/time), Velocity is vector (displacement/time).</p>
</div>
</li>
<li class="flex items-start gap-4 p-4 rounded-xl bg-slate-800/30 border border-slate-700/30 hover:bg-slate-800/50 transition-colors">
<div class="w-8 h-8 rounded-lg bg-violet-500/20 flex items-center justify-center flex-shrink-0 mt-0.5">
<i class="fa-solid fa-forward text-violet-400 text-sm"></i>
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<h4 class="text-white font-semibold mb-1">Acceleration</h4>
<p class="text-sm text-slate-400">Rate of change of velocity. Uniform acceleration implies constant change in velocity.</p>
</div>
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<i class="fa-solid fa-triangle-exclamation text-amber-400 text-xl"></i>
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<h3 class="text-xl font-bold text-white">Common Mistakes (JEE/NEET)</h3>
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<i class="fa-solid fa-plus-minus text-red-400 text-sm"></i>
</div>
<div>
<h4 class="text-white font-semibold mb-1">Sign Convention</h4>
<p class="text-sm text-slate-400">Always define positive direction. If 'up' is positive, acceleration due to gravity (g) is negative (-9.8 m/s²).</p>
</div>
</li>
<li class="flex items-start gap-4 p-4 rounded-xl bg-slate-800/30 border border-slate-700/30 hover:bg-slate-800/50 transition-colors">
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<div>
<h4 class="text-white font-semibold mb-1">Stopping Distance</h4>
<p class="text-sm text-slate-400">When a vehicle stops, final velocity v = 0. Do not assume time is given.</p>
</div>
</li>
<li class="flex items-start gap-4 p-4 rounded-xl bg-slate-800/30 border border-slate-700/30 hover:bg-slate-800/50 transition-colors">
<div class="w-8 h-8 rounded-lg bg-pink-500/20 flex items-center justify-center flex-shrink-0 mt-0.5">
<i class="fa-solid fa-vector-square text-pink-400 text-sm"></i>
</div>
<div>
<h4 class="text-white font-semibold mb-1">Vector Direction</h4>
<p class="text-sm text-slate-400">Velocity and acceleration can have opposite signs — object slows down but still moves forward.</p>
</div>
</li>
</ul>
</div>
</section>
<!-- Interactive Solver Section -->
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<h2 class="text-3xl font-bold text-white">Smart Problem Solver</h2>
<p class="text-slate-400 mt-1">Select variables you know, we'll solve for the rest</p>
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Need at least 3 variables
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<!-- Inputs -->
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<div class="space-y-4">
<!-- Input Group: u -->
<div class="input-group">
<label class="block text-xs font-mono text-brand-400 mb-2 uppercase tracking-wider">Initial Velocity (u)</label>
<div class="flex items-center gap-3">
<input type="checkbox" id="chk_u" class="custom-checkbox" onchange="toggleInput('u')">
<input type="number" id="val_u" disabled placeholder="Enter value" class="input-field flex-1 rounded-lg px-4 py-3 text-white placeholder-slate-500 focus:outline-none disabled:cursor-not-allowed font-mono">
<span class="text-slate-500 text-sm font-mono w-12">m/s</span>
</div>
</div>
<!-- Input Group: v -->
<div class="input-group">
<label class="block text-xs font-mono text-brand-400 mb-2 uppercase tracking-wider">Final Velocity (v)</label>
<div class="flex items-center gap-3">
<input type="checkbox" id="chk_v" class="custom-checkbox" onchange="toggleInput('v')">
<input type="number" id="val_v" disabled placeholder="Enter value" class="input-field flex-1 rounded-lg px-4 py-3 text-white placeholder-slate-500 focus:outline-none disabled:cursor-not-allowed font-mono">
<span class="text-slate-500 text-sm font-mono w-12">m/s</span>
</div>
</div>
<!-- Input Group: a -->
<div class="input-group">
<label class="block text-xs font-mono text-brand-400 mb-2 uppercase tracking-wider">Acceleration (a)</label>
<div class="flex items-center gap-3">
<input type="checkbox" id="chk_a" class="custom-checkbox" onchange="toggleInput('a')">
<input type="number" id="val_a" disabled placeholder="Enter value" class="input-field flex-1 rounded-lg px-4 py-3 text-white placeholder-slate-500 focus:outline-none disabled:cursor-not-allowed font-mono">
<span class="text-slate-500 text-sm font-mono w-12">m/s²</span>
</div>
</div>
<!-- Input Group: t -->
<div class="input-group">
<label class="block text-xs font-mono text-brand-400 mb-2 uppercase tracking-wider">Time (t)</label>
<div class="flex items-center gap-3">
<input type="checkbox" id="chk_t" class="custom-checkbox" onchange="toggleInput('t')">
<input type="number" id="val_t" disabled placeholder="Enter value" class="input-field flex-1 rounded-lg px-4 py-3 text-white placeholder-slate-500 focus:outline-none disabled:cursor-not-allowed font-mono">
<span class="text-slate-500 text-sm font-mono w-12">s</span>
</div>
</div>
<!-- Input Group: s -->
<div class="input-group">
<label class="block text-xs font-mono text-brand-400 mb-2 uppercase tracking-wider">Displacement (s)</label>
<div class="flex items-center gap-3">
<input type="checkbox" id="chk_s" class="custom-checkbox" onchange="toggleInput('s')">
<input type="number" id="val_s" disabled placeholder="Enter value" class="input-field flex-1 rounded-lg px-4 py-3 text-white placeholder-slate-500 focus:outline-none disabled:cursor-not-allowed font-mono">
<span class="text-slate-500 text-sm font-mono w-12">m</span>
</div>
</div>
</div>
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<button onclick="solveKinematics()" class="btn-primary w-full py-3.5 rounded-xl text-white font-semibold shadow-lg shadow-brand-500/25 transition-all transform hover:scale-[1.02] active:scale-95 flex items-center justify-center gap-2">
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Solve Problem
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<i class="fa-solid fa-rotate-left"></i>
Reset
</button>
</div>
</div>
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<div class="lg:col-span-3 space-y-6">
<!-- Result Card -->
<div id="result-card" class="hidden glass-card p-6 rounded-2xl border-l-4 border-brand-500">
<div class="flex items-center gap-3 mb-6">
<div class="w-10 h-10 rounded-lg bg-brand-500/20 flex items-center justify-center">
<i class="fa-solid fa-lightbulb text-brand-400"></i>
</div>
<div>
<h3 class="text-lg font-bold text-white">Solution Steps</h3>
<p class="text-xs text-slate-400">Step-by-step derivation</p>
</div>
</div>
<div id="solution-steps" class="space-y-3">
<!-- Steps injected via JS -->
</div>
</div>
<!-- Placeholder State -->
<div id="empty-state" class="h-full min-h-[400px] flex flex-col items-center justify-center glass-card rounded-2xl border border-dashed border-slate-700 text-slate-500">
<div class="w-20 h-20 rounded-2xl bg-slate-800/50 flex items-center justify-center mb-6">
<i class="fa-solid fa-wave-square text-4xl opacity-50"></i>
</div>
<p class="text-lg font-medium">Select at least 3 variables to solve</p>
<p class="text-sm mt-2">Check the boxes next to known values</p>
</div>
</div>
</div>
</section>
<!-- Simulator Section -->
<section id="simulator" class="space-y-8">
<div class="flex flex-col md:flex-row md:items-end justify-between gap-4">
<div>
<div class="text-violet-400 text-sm font-mono mb-2">VISUALIZATION</div>
<h2 class="text-3xl font-bold text-white">Motion Simulator</h2>
<p class="text-slate-400 mt-1">Visualize velocity-time graphs and particle motion</p>
</div>
<div class="flex flex-wrap gap-2">
<button onclick="setPreset('freefall')" class="preset-btn px-4 py-2 text-sm bg-slate-800/80 border border-slate-700 rounded-lg hover:border-violet-500/50 text-violet-300 transition-all">
<i class="fa-solid fa-apple-whole mr-2"></i>Free Fall
</button>
<button onclick="setPreset('acceleration')" class="preset-btn px-4 py-2 text-sm bg-slate-800/80 border border-slate-700 rounded-lg hover:border-emerald-500/50 text-emerald-300 transition-all">
<i class="fa-solid fa-car mr-2"></i>Car Acceleration
</button>
<button onclick="setPreset('deceleration')" class="preset-btn px-4 py-2 text-sm bg-slate-800/80 border border-slate-700 rounded-lg hover:border-amber-500/50 text-amber-300 transition-all">
<i class="fa-solid fa-car-burst mr-2"></i>Braking
</button>
</div>
</div>
<div class="grid lg:grid-cols-3 gap-6">
<!-- Controls -->
<div class="glass-card p-6 rounded-2xl space-y-6">
<div class="space-y-6">
<div>
<div class="flex justify-between items-center mb-3">
<label class="text-sm text-slate-300 font-medium">Initial Velocity (u)</label>
<span id="sim_u_val" class="text-sm font-mono text-brand-400 bg-brand-900/30 px-3 py-1 rounded-lg">0 m/s</span>
</div>
<input type="range" id="sim_u" min="-50" max="50" value="0" step="1" oninput="updateSimParams()" class="w-full">
<div class="flex justify-between text-xs text-slate-500 mt-1">
<span>-50</span>
<span>+50</span>
</div>
</div>
<div>
<div class="flex justify-between items-center mb-3">
<label class="text-sm text-slate-300 font-medium">Acceleration (a)</label>
<span id="sim_a_val" class="text-sm font-mono text-violet-400 bg-violet-900/30 px-3 py-1 rounded-lg">2 m/s²</span>
</div>
<input type="range" id="sim_a" min="-20" max="20" value="2" step="0.5" oninput="updateSimParams()" class="w-full">
<div class="flex justify-between text-xs text-slate-500 mt-1">
<span>-20</span>
<span>+20</span>
</div>
</div>
<div>
<div class="flex justify-between items-center mb-3">
<label class="text-sm text-slate-300 font-medium">Simulation Time</label>
<span id="sim_t_val" class="text-sm font-mono text-emerald-400 bg-emerald-900/30 px-3 py-1 rounded-lg">10 s</span>
</div>
<input type="range" id="sim_t" min="1" max="20" value="10" step="1" oninput="updateSimParams()" class="w-full">
<div class="flex justify-between text-xs text-slate-500 mt-1">
<span>1s</span>
<span>20s</span>
</div>
</div>
</div>
<div class="pt-6 border-t border-slate-700/50 grid grid-cols-2 gap-4">
<div class="stat-card p-4 rounded-xl text-center">
<div class="text-xs text-slate-500 mb-1">Max Velocity</div>
<div id="stat_vmax" class="text-xl font-bold text-white font-mono">20.0</div>
<div class="text-xs text-slate-500">m/s</div>
</div>
<div class="stat-card p-4 rounded-xl text-center">
<div class="text-xs text-slate-500 mb-1">Total Distance</div>
<div id="stat_dist" class="text-xl font-bold text-white font-mono">100.0</div>
<div class="text-xs text-slate-500">m</div>
</div>
</div>
<div class="flex gap-3 pt-2">
<button id="btn-play" onclick="toggleSimulation()" class="flex-1 py-3.5 bg-emerald-600 hover:bg-emerald-500 text-white rounded-xl font-semibold transition-all transform hover:scale-[1.02] active:scale-95 flex items-center justify-center gap-2 shadow-lg shadow-emerald-500/20">
<i class="fa-solid fa-play"></i>
<span>Start</span>
</button>
<button onclick="resetSimulation()" class="px-5 py-3.5 bg-slate-700 hover:bg-slate-600 text-white rounded-xl transition-all flex items-center justify-center">
<i class="fa-solid fa-rotate-right"></i>
</button>
</div>
</div>
<!-- Canvas -->
<div class="lg:col-span-2 space-y-4">
<div class="canvas-container border border-slate-700/50 shadow-2xl shadow-black/50">
<canvas id="simCanvas"></canvas>
<!-- Overlay Info -->
<div class="absolute top-4 left-4 pointer-events-none">
<div class="glass px-4 py-2.5 rounded-xl border border-brand-500/30">
<div class="flex items-center gap-4 text-xs font-mono">
<div class="flex items-center gap-2">
<span class="w-2 h-2 rounded-full bg-brand-400"></span>
<span class="text-slate-400">t:</span>
<span id="live_t" class="text-brand-300 font-bold">0.0</span>
<span class="text-slate-500">s</span>
</div>
<div class="w-px h-4 bg-slate-600"></div>
<div class="flex items-center gap-2">
<span class="w-2 h-2 rounded-full bg-violet-400"></span>
<span class="text-slate-400">v:</span>
<span id="live_v" class="text-violet-300 font-bold">0.0</span>
<span class="text-slate-500">m/s</span>
</div>
<div class="w-px h-4 bg-slate-600"></div>
<div class="flex items-center gap-2">
<span class="w-2 h-2 rounded-full bg-emerald-400"></span>
<span class="text-slate-400">s:</span>
<span id="live_s" class="text-emerald-300 font-bold">0.0</span>
<span class="text-slate-500">m</span>
</div>
</div>
</div>
</div>
<!-- Legend -->
<div class="absolute bottom-4 right-4 pointer-events-none">
<div class="glass px-4 py-2 rounded-lg border border-slate-700/50">
<div class="flex items-center gap-4 text-xs">
<div class="flex items-center gap-2">
<span class="w-3 h-3 rounded-full bg-brand-500"></span>
<span class="text-slate-300">Position</span>
</div>
<div class="flex items-center gap-2">
<span class="w-3 h-3 rounded-full bg-violet-500"></span>
<span class="text-slate-300">Velocity</span>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</section>
<!-- Formula Sheet -->
<section id="formulas" class="glass-card p-8 rounded-2xl">
<div class="flex items-center gap-3 mb-8">
<div class="w-12 h-12 rounded-xl bg-gradient-to-br from-pink-500/20 to-rose-600/10 border border-pink-500/30 flex items-center justify-center">
<i class="fa-solid fa-file-invoice text-pink-400 text-xl"></i>
</div>
<div>
<h2 class="text-2xl font-bold text-white">Essential Formula Sheet</h2>
<p class="text-sm text-slate-400">Fundamental equations of motion</p>
</div>
</div>
<div class="grid md:grid-cols-2 gap-5">
<div class="formula-card bg-slate-800/40 p-6 rounded-xl border border-slate-700/50 hover:bg-slate-800/60 transition-all">
<div class="text-slate-500 text-xs font-mono mb-3 uppercase tracking-wider">Velocity & Acceleration</div>
<div class="text-2xl text-white font-mono font-bold mb-3">v = u + at</div>
<div class="text-sm text-slate-400 leading-relaxed">Final velocity equals initial velocity plus acceleration times time.</div>
<div class="mt-4 flex gap-2">
<span class="px-2 py-1 bg-brand-500/10 text-brand-400 text-xs rounded">v = final velocity</span>
<span class="px-2 py-1 bg-brand-500/10 text-brand-400 text-xs rounded">u = initial velocity</span>
</div>
</div>
<div class="formula-card bg-slate-800/40 p-6 rounded-xl border border-slate-700/50 hover:bg-slate-800/60 transition-all">
<div class="text-slate-500 text-xs font-mono mb-3 uppercase tracking-wider">Displacement (Time known)</div>
<div class="text-2xl text-white font-mono font-bold mb-3">s = ut + ½at²</div>
<div class="text-sm text-slate-400 leading-relaxed">Distance covered under constant acceleration with time known.</div>
<div class="mt-4 flex gap-2">
<span class="px-2 py-1 bg-violet-500/10 text-violet-400 text-xs rounded">s = displacement</span>
<span class="px-2 py-1 bg-violet-500/10 text-violet-400 text-xs rounded">t = time</span>
</div>
</div>
<div class="formula-card bg-slate-800/40 p-6 rounded-xl border border-slate-700/50 hover:bg-slate-800/60 transition-all">
<div class="text-slate-500 text-xs font-mono mb-3 uppercase tracking-wider">Displacement (Time unknown)</div>
<div class="text-2xl text-white font-mono font-bold mb-3">v² = u² + 2as</div>
<div class="text-sm text-slate-400 leading-relaxed">Useful when time is not given or required in the problem.</div>
<div class="mt-4 flex gap-2">
<span class="px-2 py-1 bg-emerald-500/10 text-emerald-400 text-xs rounded">No time needed</span>
<span class="px-2 py-1 bg-emerald-500/10 text-emerald-400 text-xs rounded">Energy relation</span>
</div>
</div>
<div class="formula-card bg-slate-800/40 p-6 rounded-xl border border-slate-700/50 hover:bg-slate-800/60 transition-all">
<div class="text-slate-500 text-xs font-mono mb-3 uppercase tracking-wider">Average Velocity</div>
<div class="text-2xl text-white font-mono font-bold mb-3">s = ½(u + v)t</div>
<div class="text-sm text-slate-400 leading-relaxed">Displacement equals average velocity multiplied by time interval.</div>
<div class="mt-4 flex gap-2">
<span class="px-2 py-1 bg-amber-500/10 text-amber-400 text-xs rounded">Average velocity</span>
<span class="px-2 py-1 bg-amber-500/10 text-amber-400 text-xs rounded">(u+v)/2</span>
</div>
</div>
</div>
</section>
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<h3 class="text-white font-bold">KinematicsMaster</h3>
<p class="text-xs text-slate-500">Master physics, one dimension at a time</p>
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