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Motion"}],"title":"Distance vs Displacement","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>Distance vs Displacement</title>\n  <style>\n    :root{--bg:#101417;--panel:#1c232e;--line:#3b4a55;--accent:#e0b15b;--text:#f3f7fa;--muted:#a8b4bf;--blue:#4ea8ff;--green:#8decb0;--red:#df8279;}\n    *{box-sizing:border-box;}\n    body{margin:0;font-family:\"Plus Jakarta Sans\",\"Manrope\",\"Inter\",ui-sans-serif,system-ui,sans-serif;background:radial-gradient(120% 90% at 20% -5%,#2a3944 0%,var(--bg) 58%);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(28,35,46,.86),rgba(14,18,26,.94));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:#162029;color:var(--accent);font-family:ui-monospace,monospace;font-size:0.9rem;box-shadow:inset 0 0 28px rgba(224,177,91,.14);}\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 #4b6170;border-radius:14px;position:relative;overflow:hidden;background:radial-gradient(circle at 50% 38%,#3f6272,#141b22 72%);box-shadow:0 18px 60px rgba(0,0,0,.42), inset 0 0 90px rgba(255,255,255,.05);}\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>Distance vs Displacement</h1>\n    <p class=\"sub\">Two concepts, one critical difference</p>\n    <p class=\"formula\">Distance = path length | Displacement = Δposition</p>\n    <label class=\"control\"><span>Scenario: <strong id=\"v-mode\">Linear</strong></span><input id=\"c-mode\" type=\"range\" min=\"0\" max=\"2\" step=\"1\" value=\"0\"/></label>\n    <label class=\"control\"><span>Speed (m/s): <strong id=\"v-speed\">2.0</strong></span><input id=\"c-speed\" type=\"range\" min=\"0.5\" max=\"4\" step=\"0.1\" value=\"2.0\"/></label>\n    <ul>\n      <li><strong>❌ Misconception:</strong> Distance &amp; displacement are always the same</li>\n      <li><strong>✓ Truth:</strong> They differ based on path shape and direction</li>\n      <li><strong>🔑 Key:</strong> Linear motion: same. Curved or back-and-forth: different</li>\n      <li><strong>📊 Watch:</strong> Red = distance (total path), Blue = displacement (net)</li>\n    </ul>\n  </aside>\n  <section>\n    <div class=\"stage\" id=\"stage\">\n      <div class=\"legend\" id=\"legend\">Scenario: Linear Path</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\":\"mode\",\"label\":\"Scenario\",\"min\":0,\"max\":2,\"step\":1,\"value\":0,\"units\":\"\"},\n  {\"key\":\"speed\",\"label\":\"Speed\",\"min\":0.5,\"max\":4,\"step\":0.1,\"value\":2.0,\"units\":\"m/s\"}\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',()=>{\n    if(c.key==='mode'){\n      const modes=['Linear','Round Trip','Circular'];\n      out.textContent=modes[inp.value]||'Linear';\n    }else{\n      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