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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:#0e121a;--panel:#1c232e;--line:#303449;--accent:#fc884f;--text:#faf9f8;--muted:#9f9ea1;--blue:#627da5;--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%,#1c232e 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(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:#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);font-family:monospace;}\n    .misconception{display:inline-block;width:16px;height:16px;border:2px solid var(--red);border-radius:50%;position:relative;margin-right:6px;}\n    .misconception::after{content:\"\";position:absolute;width:10px;height:2px;background:var(--red);top:50%;left:50%;transform:translate(-50%,-50%);}\n    .correction{display:inline-block;width:16px;height:16px;border:2px solid var(--green);border-radius:50%;position:relative;margin-right:6px;}\n    .correction::after{content:\"\";position:absolute;width:8px;height:4px;border-bottom:2px solid var(--green);border-left:2px solid var(--green);top:4px;left:2px;transform:rotate(-45deg);}\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\">Why they're NOT always the same</p>\n    <p class=\"formula\">Distance = total path length<br/>Displacement = change in position</p>\n    <label class=\"control\"><span>Path Type: <strong id=\"v-pathType\">Straight</strong></span><input id=\"c-pathType\" type=\"range\" min=\"0\" max=\"2\" step=\"1\" value=\"0\"/></label>\n    <label class=\"control\"><span>Speed: <strong id=\"v-speed\">1.0</strong> m/s</span><input id=\"c-speed\" type=\"range\" min=\"0.5\" max=\"2\" step=\"0.1\" value=\"1.0\"/></label>\n    <label class=\"control\"><span>Route Complexity: <strong id=\"v-loops\">1</strong></span><input id=\"c-loops\" type=\"range\" min=\"1\" max=\"3\" step=\"1\" value=\"1\"/></label>\n    <ul>\n      <li><span class=\"misconception\"></span><strong>MYTH:</strong> Distance = Displacement always</li>\n      <li><span class=\"correction\"></span><strong>TRUTH:</strong> They differ when path ≠ straight line OR object returns</li>\n      <li><strong>KEY:</strong> Displacement uses vector (start→end). Distance sums all path length.</li>\n      <li><strong>TEST:</strong> Person walks 10m East, 10m West. 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