{"job_id":"anim-job-79eb91d7-d447-4327-812b-92482f596964","request_id":"test-physics-projectile-fef4a9a4-ee3c-4109-9b59-ca80c158fc36-1778702709883","status":"complete","asset":{"primary_url":"https://storage.googleapis.com/pupiltree-animation-assets/anim-job-79eb91d7-d447-4327-812b-92482f596964/walkthrough.mp4","thumbnail_url":"https://storage.googleapis.com/pupiltree-animation-assets/anim-job-79eb91d7-d447-4327-812b-92482f596964/thumb.jpg","transcript_url":"https://storage.googleapis.com/pupiltree-animation-assets/anim-job-79eb91d7-d447-4327-812b-92482f596964/transcript.vtt","interactive_url":"https://storage.googleapis.com/pupiltree-animation-assets/anim-job-79eb91d7-d447-4327-812b-92482f596964/index.html","scenefile_url":"https://storage.googleapis.com/pupiltree-animation-assets/anim-job-79eb91d7-d447-4327-812b-92482f596964/scene-source.json","duration_seconds":15,"byte_size":249176,"renderer":"html_three_js_local","parameters":{"style":"auto","executor":"native_render_executor","localPath":"/app/storage/assets/anim-job-79eb91d7-d447-4327-812b-92482f596964","control_count":2,"interactivity":"none","simulation_id":"physics.11.kinematics.projectile_motion","renderer_style":"three_js","durationSeconds":15,"render_manifest":{"jobId":"anim-job-79eb91d7-d447-4327-812b-92482f596964","request":{"gap":{"topic":"projectile-components","severity":"dangerous","error_type":"wrong_assumption","memory_state":"fragile","display_topic":"Projectile Motion Components","common_wrong_answer":"Horizontal and vertical motions are dependent.","confidence_at_error":"high","correct_understanding":"Projectile horizontal and vertical motions evolve independently."},"target":{"style":"auto","render":{"fps":30,"format":"mp4","resolution":"1920x1080","include_thumbnail":true,"include_transcript":true},"audience":{"tone":"neutral_instructional","grade":"11","language":"en"},"interactivity":"none","duration_seconds":15},"context":{"chapter":{"name":"Kinematics","ncert_class":11,"ncert_chapter_number":3},"sub_topics":[{"topic":"Projectile Motion","key_concepts":["projectile","range"]}]},"metadata":{"priority":"normal"},"exam_type":"neet","asset_type":"simulation","request_id":"test-physics-projectile-fef4a9a4-ee3c-4109-9b59-ca80c158fc36-1778702709883","subject_area":"physics"},"renderer":"html_three_js_local","storyboard":{"beats":[{"label":"Topic","visual":"Show the topic title and the key physical context.","narration":"Projectile Motion Components"},{"label":"Mistake","visual":"Show the wrong approach and why it seems plausible.","narration":"Horizontal and vertical motions are dependent."},{"label":"Correction","visual":"Show the right approach step by step.","narration":"Projectile horizontal and vertical motions evolve independently."},{"label":"Concept","visual":"Highlight the key formula and the governing relationship.","narration":"projectile. range"}],"title":"Projectile Motion Components","sceneCode":"<!doctype html>\n<html lang=\"en\">\n<head>\n  <meta charset=\"utf-8\"/>\n  <meta name=\"viewport\" content=\"width=device-width, initial-scale=1\"/>\n  <title>Projectile Motion: Independent Components</title>\n  <style>\n    :root{--bg:#0f1418;--panel:#182228;--line:#2e3e46;--accent:#e5ba67;--text:#f4f1ea;--muted:#c8d4da;--blue:#63b3ff;--green:#87e8a8;--red:#de7f76;}\n    *{box-sizing:border-box;}\n    body{margin:0;font-family:\"Plus Jakarta Sans\",\"Manrope\",ui-sans-serif,system-ui,sans-serif;background:radial-gradient(120% 90% at 20% -5%,#24343d 0%,var(--bg) 55%);color:var(--text);}\n    main{min-height:100vh;display:grid;grid-template-columns:minmax(300px,380px) 1fr;}\n    aside{border-right:1px solid var(--line);background:linear-gradient(180deg,rgba(31,46,53,.86),rgba(24,34,40,.92));padding:24px;overflow:auto;backdrop-filter:blur(6px);}\n    section{padding:24px;display:grid;place-items:center;}\n    h1{margin:0 0 10px;font-size:1.65rem;line-height:1.15;}\n    .sub{margin:0 0 16px;color:var(--muted);}\n    .formula{margin:0 0 14px;padding:10px;border:1px solid var(--line);border-radius:10px;background:#11191e;color:var(--accent);font-family:ui-monospace,monospace;font-size:0.9rem;box-shadow:inset 0 0 28px rgba(229,186,103,.08);}\n    .control{display:grid;gap:6px;margin:12px 0;}\n    .control input{width:100%;accent-color:var(--accent);}\n    ul{margin:14px 0 0 18px;padding:0;color:var(--muted);display:grid;gap:6px;}\n    .stage{width:min(1020px,95%);aspect-ratio:16/9;border:1px solid #445862;border-radius:14px;position:relative;overflow:hidden;background:radial-gradient(circle at 50% 38%,#2f4a57,#0f1418 72%);box-shadow:0 18px 60px rgba(0,0,0,.45), inset 0 0 90px rgba(255,255,255,.03);}\n    .stage::before{content:\"\";position:absolute;inset:0;background:linear-gradient(180deg,rgba(255,255,255,.06),transparent 34%);pointer-events:none;}\n    .legend{position:absolute;right:12px;top:12px;padding:8px 10px;border-radius:10px;border:1px solid #465a64;background:rgba(9,14,18,.58);font-size:0.8rem;color:var(--muted);backdrop-filter:blur(4px);}\n    @media(max-width:900px){main{grid-template-columns:1fr;}aside{border-right:0;border-bottom:1px solid var(--line);}}\n  </style>\n</head>\n<body>\n<main>\n  <aside>\n    <h1>Projectile Motion: Independent Components</h1>\n    <p class=\"sub\">Horizontal and vertical motions evolve separately under constant gravity.</p>\n    <p class=\"formula\">x(t) = x₀ + vₓt<br/>y(t) = y₀ + vᵧt − ½gt²</p>\n    <label class=\"control\"><span>Launch Angle: <strong id=\"v-angle\">45</strong>°</span><input id=\"c-angle\" type=\"range\" min=\"15\" max=\"75\" step=\"5\" value=\"45\"/></label>\n    <label class=\"control\"><span>Initial Speed: <strong id=\"v-speed\">25</strong> m/s</span><input id=\"c-speed\" type=\"range\" min=\"10\" max=\"40\" step=\"2\" value=\"25\"/></label>\n    <label class=\"control\"><span>Gravity: <strong id=\"v-g\">9.8</strong> m/s²</span><input id=\"c-g\" type=\"range\" min=\"5\" max=\"15\" step=\"0.5\" value=\"9.8\"/></label>\n    <ul>\n      <li><strong>❌ Wrong:</strong> Gravity pulls down, so horizontal speed decreases.</li>\n      <li><strong>✓ Correct:</strong> Only vertical motion feels gravity. Horizontal velocity stays constant.</li>\n      <li>Watch: X-component (blue) moves at fixed rate. Y-component (green) curves down due to gravity.</li>\n      <li>Proof: Separate the vectors—they don't talk to each other!</li>\n    </ul>\n  </aside>\n  <section>\n    <div class=\"stage\" id=\"stage\">\n      <div class=\"legend\" id=\"legend\">Ready</div>\n      <canvas id=\"sim-cv\" style=\"position:absolute;inset:0;width:100%;height:100%;\"></canvas>\n    </div>\n  </section>\n</main>\n<script>\nconst controls = [\n  {\"key\":\"angle\",\"label\":\"Launch Angle\",\"min\":15,\"max\":75,\"step\":5,\"value\":45,\"units\":\"°\"},\n  {\"key\":\"speed\",\"label\":\"Initial Speed\",\"min\":10,\"max\":40,\"step\":2,\"value\":25,\"units\":\"m/s\"},\n  {\"key\":\"g\",\"label\":\"Gravity\",\"min\":5,\"max\":15,\"step\":0.5,\"value\":9.8,\"units\":\"m/s²\"}\n];\nfor(const c of controls){\n  const inp=document.getElementById('c-'+c.key);\n  const out=document.getElementById('v-'+c.key);\n  inp?.addEventListener('input',()=>{out.textContent=inp.value;window.updateModel?.();});\n}\n(function(){\n  const cv=document.getElementById('sim-cv');\n  const ctx=cv.getContext('2d');\n  function resize(){const r=cv.getBoundingClientRect();if(r.width>0){cv.width=r.width;cv.height=r.height;}}\n  resize();new ResizeObserver(resize).observe(cv);\n  let lastTs=0;\n  \n  // Physics state\n  let t=0;\n  let angle=45;\n  let v0=25;\n  let g=9.8;\n  let scale=8; // pixels per meter\n  let vx,vy0;\n  let trailPoints=[];\n  let maxT=0;\n  \n  function initProjectile(){\n    const rad=angle*Math.PI/180;\n    vx=v0*Math.cos(rad);\n    vy0=v0*Math.sin(rad);\n    maxT=2*vy0/g;\n    t=0;\n    trailPoints=[];\n  }\n  \n  function arrow(x1,y1,x2,y2,color){\n    const dx=x2-x1,dy=y2-y1,l=Math.sqrt(dx*dx+dy*dy);\n    if(l<2)return;\n    const nx=dx/l,ny=dy/l,s=10;\n    ctx.strokeStyle=color;ctx.lineWidth=2;\n    ctx.beginPath();ctx.moveTo(x1,y1);ctx.lineTo(x2,y2);ctx.stroke();\n    ctx.fillStyle=color;ctx.beginPath();ctx.moveTo(x2,y2);\n    ctx.lineTo(x2-s*nx+s*0.4*ny,y2-s*ny-s*0.4*nx);\n    ctx.lineTo(x2-s*nx-s*0.4*ny,y2-s*ny+s*0.4*nx);ctx.fill();\n  }\n  \n  function glowDot(x,y,r,color,a){\n    const g=ctx.createRadialGradient(x,y,0,x,y,r*2.6);\n    g.addColorStop(0,color.replace('ALPHA',String(a)));\n    g.addColorStop(1,color.replace('ALPHA','0'));\n    ctx.fillStyle=g;ctx.beginPath();ctx.arc(x,y,r*2.6,0,Math.PI*2);ctx.fill();\n  }\n  \n  function tick(ts){\n    const dt=Math.min(0.04,(ts-lastTs)/1000);lastTs=ts;\n    const W=cv.width,H=cv.height;\n    \n    // Read sliders\n    angle=Number(document.getElementById('c-angle').value);\n    v0=Number(document.getElementById('c-speed').value);\n    g=Number(document.getElementById('c-g').value);\n    \n    // Physics update\n    if(t===0) initProjectile();\n    t+=dt;\n    \n    // Projectile position (meters)\n    const x_m=vx*t;\n    const y_m=vy0*t-0.5*g*t*t;\n    \n    // Canvas position (origin at center-left, y down for screen coords)\n    const origX=W*0.15;\n    const origY=H*0.75;\n    const x_px=origX+x_m*scale;\n    const y_px=origY-y_m*scale;\n    \n    // Component positions for decomposition\n    const x_only_px=origX+x_m*scale;\n    const y_only_px=origY-y_m*scale;\n    \n    // Store trail\n    if(t<maxT*1.1){\n      trailPoints.push({x:x_px,y:y_px});\n      if(trailPoints.length>60)trailPoints.shift();\n    }\n    \n    // Reset if done\n    if(t>maxT*1.2){\n      t=0;\n      trailPoints=[];\n    }\n    \n    // ===== DRAW =====\n    ctx.clearRect(0,0,W,H);\n    \n    // Background grid\n    ctx.strokeStyle='rgba(70,90,100,0.2)';\n    ctx.lineWidth=1;\n    for(let i=0;i<=W;i+=W*0.1){\n      ctx.beginPath();ctx.moveTo(i,0);ctx.lineTo(i,H);ctx.stroke();\n    }\n    for(let i=0;i<=H;i+=H*0.1){\n      ctx.beginPath();ctx.moveTo(0,i);ctx.lineTo(W,i);ctx.stroke();\n    }\n    \n    // Ground\n    ctx.fillStyle='rgba(135,232,168,0.15)';\n    ctx.fillRect(0,origY,W,H-origY);\n    ctx.strokeStyle='var(--green)';\n    ctx.lineWidth=2;\n    ctx.beginPath();ctx.moveTo(0,origY);ctx.lineTo(W,origY);ctx.stroke();\n    \n    // Origin marker\n    ctx.fillStyle='var(--accent)';\n    ctx.beginPath();ctx.arc(origX,origY,5,0,Math.PI*2);ctx.fill();\n    \n    // Trail\n    if(trailPoints.length>1){\n      ctx.strokeStyle='rgba(99,179,255,0.6)';\n      ctx.lineWidth=2;\n      ctx.beginPath();ctx.moveTo(trailPoints[0].x,trailPoints[0].y);\n      for(let i=1;i<trailPoints.length;i++){\n        ctx.lineTo(trailPoints[i].x,trailPoints[i].y);\n      }\n      ctx.stroke();\n    }\n    \n    // Horizontal component visualization (blue, separate path)\n    const x_comp_y=origY;\n    ctx.strokeStyle='rgba(99,179,255,0.5)';\n    ctx.lineWidth=3;\n    ctx.setLineDash([5,5]);\n    ctx.beginPath();ctx.moveTo(origX,x_comp_y);ctx.lineTo(x_only_px,x_comp_y);ctx.stroke();\n    ctx.setLineDash([]);\n    \n    // Vertical component visualization (green, separate path)\n    const y_comp_x=origX;\n    ctx.strokeStyle='rgba(135,232,168,0.5)';\n    ctx.lineWidth=3;\n    ctx.setLineDash([5,5]);\n    ctx.beginPath();ctx.moveTo(y_comp_x,origY);ctx.lineTo(y_comp_x,y_only_px);ctx.stroke();\n    ctx.setLineDash([]);\n    \n    // Current velocity components\n    const vx_current=vx;\n    const vy_current=vy0-g*t;\n    const vx_display=Math.min(vx_current*scale*0.04,60);\n    const vy_display=Math.min(Math.abs(vy_current)*scale*0.04,60);\n    \n    // Horizontal velocity arrow (CONSTANT)\n    arrow(x_px,y_px,x_px+vx_display,y_px,var(--blue));\n    \n    // Vertical velocity arrow (CHANGES)\n    arrow(x_px,y_px,x_px,y_px+vy_display,var(--red));\n    \n    // Projectile ball\n    glowDot(x_px,y_px,6,'rgba(229,186,103,ALPHA)',0.8);\n    ctx.fillStyle='var(--accent)';\n    ctx.beginPath();ctx.arc(x_px,y_px,6,0,Math.PI*2);ctx.fill();\n    \n    // Component dots on axes\n    ctx.fillStyle='var(--blue)';\n    ctx.beginPath();ctx.arc(x_only_px,x_comp_y,4,0,Math.PI*2);ctx.fill();\n    glowDot(x_only_px,x_comp_y,4,'rgba(99,179,255,ALPHA)',0.6);\n    \n    ctx.fillStyle='var(--green)';\n    ctx.beginPath();ctx.arc(y_comp_x,y_only_px,4,0,Math.PI*2);ctx.fill();\n    glowDot(y_comp_x,y_only_px,4,'rgba(135,232,168,ALPHA)',0.6);\n    \n    // Labels\n    const fs_label=Math.round(H*0.035)+'px sans-serif';\n    const fs_small=Math.round(H*0.028)+'px sans-serif';\n    \n    ctx.fillStyle='var(--blue)';\n    ctx.font=fs_label;\n    ctx.textAlign='center';\n    ctx.fillText('Horizontal (vₓ = constant)',W*0.35,H*0.15);\n    \n    ctx.fillStyle='var(--green)';\n    ctx.fillText('Vertical (vᵧ = v₀y − gt)',W*0.65,H*0.15);\n    \n    // Numerical readout\n    ctx.fillStyle='var(--muted)';\n    ctx.font=fs_small;\n    ctx.textAlign='left';\n    ctx.fillText('t: '+t.toFixed(2)+'s',W*0.05,H*0.08);\n    ctx.fillText('x: '+x_m.toFixed(1)+'m | vₓ: '+vx_current.toFixed(1)+'m/s',W*0.05,H*0.12);\n    ctx.fillText('y: '+y_m.toFixed(1)+'m | vᵧ: '+vy_current.toFixed(1)+'m/s',W*0.05,H*0.16);\n    \n    // Key insight box\n    ctx.fillStyle='rgba(222,","remediationGoal":"Close wrong_assumption for physics."},"rendererStyle":"three_js"},"simulation_title":"Projectile Motion"}},"metadata":{"rendered_at":"2026-05-13T20:10:17.312Z","cache_hit":false,"cost_usd":0},"error":null}