{"id":1704,"date":"2026-06-17T16:33:27","date_gmt":"2026-06-17T09:33:27","guid":{"rendered":"https:\/\/people.usd.ac.id\/~ydkristanto\/?page_id=1704"},"modified":"2026-06-20T21:31:20","modified_gmt":"2026-06-20T14:31:20","slug":"mengoneksikan-jarak-dan-kecepatan","status":"publish","type":"page","link":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/media-pengajaran\/mengoneksikan-jarak-dan-kecepatan\/","title":{"rendered":"Mengoneksikan Jarak dan Kecepatan"},"content":{"rendered":"\n<div class=\"wp-block-buttons is-content-justification-right\">\n<div class=\"wp-block-button is-style-outline\"><a class=\"wp-block-button__link\" href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/learning-resources\/connecting-distance-and-speed\/\">EN<\/a><\/div>\n<\/div>\n\n\n\n<p class=\"has-drop-cap\">Bagaimana keterkaitan antara jarak dan kecepatan? Dengan mengetahui seberapa cepat seseorang bergerak, apakah kamu dapat menentukan jarak orang tersebut? Dengan simulasi di laman ini, kamu akan melihat bagaimana kedua kuantitas tersebut terkait satu sama lain setiap waktunya.<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>Klik &#8220;Mainkan&#8221; untuk memainkan simulasinya! Amati pergerakan orangnya, bandingkan grafik jarak dan kecepatan orang tersebut setiap waktunya.<\/p>\n\n\n\n<div class=\"wp-block-group alignfull\"><div class=\"wp-block-group__inner-container\">\n<div id=\"calculator1\" class=\"alignfull\"><\/div>\n\n\n\n<div class=\"wp-block-columns alignwide\">\n<div class=\"wp-block-column\">\n<figure>\n<div id=\"calculator3\" class=\"aligncenter size-full\" style=\"width: 400px; height: 400px;\"><\/div>\n<figcaption>Grafik fungsi kecepatan setiap waktunya<\/figcaption>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column\">\n<figure>\n<div id=\"calculator2\" class=\"aligncenter size-full\" style=\"width: 400px; height: 400px;\"><\/div>\n<figcaption>Grafik fungsi jarak setiap waktunya<\/figcaption>\n<\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p>Simulasi ini adalah salah satu bentuk riil dari koneksi antara integral dan turunan. Untuk mempelajari koneksi ini, silakan kunjungi sumber belajar interaktif <a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/media-pengajaran\/teorema-fundamental-kalkulus\/\">Teorema Fundamental Kalkulus<\/a>.<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2>Ayo Bermain Gim!<\/h2>\n\n\n\n<p>Melalui <a href=\"#calculator1\">simulasi di atas<\/a>, kamu telah belajar tentang bagaimana fungsi jarak dan kecepatan setiap waktunya terkait satu sama lain. Sekarang, mari gunakan pemahamanmu tentang keterkaitan itu untuk bermain gim!<\/p>\n\n\n\n<p>Perhatikan <a href=\"#calculator6\">panel gim<\/a>. Misi dari gim ini sederhana:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>Kamu perlu melaju dan berhenti ke Tiang 1, kemudian melaju lagi untuk singgah di Tiang 1.<\/p><\/blockquote>\n\n\n\n<div class=\"wp-block-group alignfull has-gray-background-color has-background\"><div class=\"wp-block-group__inner-container\">\n<p>Aturlah grafik fungsi kecepatan (warna merah) dengan menggeser titik-titiknya. Amati juga grafik fungsi jaraknya. Siap? Klik &#8220;Mulai&#8221;!<\/p>\n\n\n\n<div class=\"wp-block-columns alignwide\">\n<div class=\"wp-block-column\">\n<div id=\"calculator4\" class=\"aligncenter size-full\" style=\"width: 400px; height: 400px;\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column\">\n<div id=\"calculator5\" class=\"aligncenter size-full\" style=\"width: 400px; height: 400px;\"><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-group alignwide\"><div class=\"wp-block-group__inner-container\">\n<div id=\"calculator6\" class=\"alignwide\"><\/div>\n\n<script>\n  var successSound = new Audio( 'https:\/\/people.usd.ac.id\/~ydkristanto\/wp-content\/uploads\/2026\/06\/freesound_community-tada-fanfare-a-6313.mp3'\n  );\n  successSound.preload = 'auto';\n  \n  var calculator1 = Desmos.GraphingCalculator(document.getElementById('calculator1'), {\n    expressions: false,\n    settingsMenu: false,\n    trace: false\n  });\n  var calculator2 = Desmos.GraphingCalculator(document.getElementById('calculator2'), {\n    expressions: false,\n    settingsMenu: false,\n    trace: false\n  });\n  var calculator3 = Desmos.GraphingCalculator(document.getElementById('calculator3'), {\n    expressions: false,\n    settingsMenu: false,\n    trace: false\n  });\n  var calculator4 = Desmos.GraphingCalculator(document.getElementById('calculator4'), {\n    expressions: false,\n    settingsMenu: false,\n    trace: false\n  });\n  var calculator5 = Desmos.GraphingCalculator(document.getElementById('calculator5'), {\n    expressions: false,\n    settingsMenu: false,\n    trace: false\n  });\n  var calculator6 = Desmos.GraphingCalculator(document.getElementById('calculator6'), {\n    expressions: false,\n    settingsMenu: false,\n    trace: false\n  });\n\n  var state1 = {\n    \"version\": 11,\n    \"randomSeed\": \"d8abfcb28545f8d3edde2a630ca312de\",\n    \"graph\": {\n        \"viewport\": {\n            \"xmin\": -15.486916839029448,\n            \"ymin\": -97.785954474443,\n            \"xmax\": 64.51308316097058,\n            \"ymax\": 102.88443658700959\n        },\n        \"showGrid\": false,\n        \"showXAxis\": false,\n        \"showYAxis\": false,\n        \"userLockedViewport\": true,\n        \"__v12ViewportLatexStash\": {\n            \"xmin\": \"-15.486916839029448\",\n            \"xmax\": \"64.51308316097058\",\n            \"ymin\": \"-97.785954474443\",\n            \"ymax\": \"102.88443658700959\"\n        }\n    },\n    \"expressions\": {\n        \"list\": [\n            {\n                \"type\": \"folder\",\n                \"id\": \"51\",\n                \"title\": \"Variabel\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"82\",\n                \"folderId\": \"51\",\n                \"text\": \"Waktu:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"52\",\n                \"folderId\": \"51\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"t_{0}=0\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"animationPeriod\": 40000,\n                    \"loopMode\": \"PLAY_ONCE\",\n                    \"min\": \"0\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"89\",\n                \"folderId\": \"51\",\n                \"color\": \"#c74440\",\n                \"latex\": \"t_{s}=\\\\frac{t_{0}}{1000}\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"84\",\n                \"folderId\": \"51\",\n                \"text\": \"Aksi:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"86\",\n                \"folderId\": \"51\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"T_{maks}=30000\",\n                \"hidden\": true,\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"0\",\n                    \"max\": \"60000\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"85\",\n                \"folderId\": \"51\",\n                \"color\": \"#388c46\",\n                \"latex\": \"j_{alan}\\\\left(x\\\\right)=t_{0}\\\\to\\\\min\\\\left(t_{0}+x,T_{maks}\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"87\",\n                \"folderId\": \"51\",\n                \"color\": \"#000000\",\n                \"latex\": \"u_{lang}=t_{0}\\\\to0,P\\\\to0\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"9\",\n                \"title\": \"Latar\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"11\",\n                \"folderId\": \"9\",\n                \"text\": \"Langit:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"12\",\n                \"folderId\": \"9\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"y\\\\ge0\",\n                \"lines\": false,\n                \"colorLatex\": \"b_{langit}\",\n                \"fillOpacity\": \".9\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"34\",\n                \"folderId\": \"9\",\n                \"text\": \"Awan:\"\n            },\n            {\n                \"type\": \"image\",\n                \"id\": \"38\",\n                \"folderId\": \"9\",\n                \"image_url\": \"https:\/\/uploads.desmos.com\/calculator-images\/de0ae00b0f936be58fd97060077a3b14\",\n                \"name\": \"awan1.png\",\n                \"foreground\": true,\n                \"center\": 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            \"color\": \"#2d70b3\",\n                \"latex\": \"\\\\sin\\\\left(\\\\frac{1}{2\\\\pi}x\\\\right)-8\\\\le y\\\\le0\",\n                \"lines\": false,\n                \"colorLatex\": \"t_{anah2}\",\n                \"fillOpacity\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"18\",\n                \"folderId\": \"9\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"\\\\sin\\\\left(\\\\frac{1}{12}x-2\\\\right)-2\\\\le y\\\\le0\",\n                \"lines\": false,\n                \"colorLatex\": \"t_{anah1}\",\n                \"fillOpacity\": \".8\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"54\",\n                \"title\": \"Penanda jarak\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"61\",\n                \"folderId\": \"54\",\n          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             \"id\": \"59\",\n                \"folderId\": \"54\",\n                \"color\": \"#c74440\",\n                \"latex\": \"x=L_{besar}\\\\left\\\\{-1\\\\le y\\\\le0\\\\right\\\\}\",\n                \"colorLatex\": \"w_{putih}\",\n                \"lineWidth\": \"1.5\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"63\",\n                \"folderId\": \"54\",\n                \"text\": \"Label:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"64\",\n                \"folderId\": \"54\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(L_{besar},-1.1\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"${L_{besar}}\",\n                \"hidden\": true,\n                \"labelOrientation\": \"below\",\n                \"labelSize\": \".7\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"92\",\n                \"folderId\": \"54\",\n                \"text\": \"Jarak:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"93\",\n                \"folderId\": \"54\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"y=0\\\\left\\\\{0\\\\le x\\\\le F\\\\left(t_{s}\\\\right)\\\\right\\\\}\\\\left\\\\{t_{0}>0\\\\right\\\\}\",\n                \"lineWidth\": \"3\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"20\",\n                \"title\": \"Model\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"44\",\n                \"folderId\": \"20\",\n                \"text\": \"Fungsi kecepatan:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"45\",\n                \"folderId\": \"20\",\n                \"color\": \"#c74440\",\n                \"latex\": \"f\\\\left(x\\\\right)=\\\\left\\\\{0\\\\le x<10:3.5\\\\left(1-\\\\cos\\\\left(\\\\frac{\\\\pi}{10}x\\\\right)\\\\right),10\\\\le x<15:3.5\\\\cos\\\\left(\\\\frac{\\\\pi}{5}\\\\left(x-10\\\\right)\\\\right)+3.5,15\\\\le x<25:2.5\\\\cos\\\\left(\\\\frac{\\\\pi}{5}\\\\left(x-15\\\\right)\\\\right)-2.5,25\\\\le x<28:1.5-1.5\\\\cos\\\\left(\\\\frac{\\\\pi}{3}\\\\left(x-25\\\\right)\\\\right),28\\\\le x\\\\le30:1.5+1.5\\\\cos\\\\left(\\\\frac{\\\\pi}{2}\\\\left(x-28\\\\right)\\\\right)\\\\right\\\\}\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"47\",\n                \"folderId\": \"20\",\n                \"text\": \"Fungsi jarak:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"48\",\n                \"folderId\": \"20\",\n                \"color\": 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\"type\": \"expression\",\n                \"id\": \"97\",\n                \"folderId\": \"20\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(F\\\\left(t_{s}\\\\right),3\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"${v} m\/s\",\n                \"hidden\": true,\n                \"labelOrientation\": \"above\",\n                \"labelSize\": \".7\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"66\",\n                \"title\": \"Tombol\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"77\",\n                \"folderId\": \"66\",\n                \"text\": \"Kondisi:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"75\",\n                \"folderId\": \"66\",\n                \"color\": 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\"fillOpacity\": \"0\",\n                \"lineWidth\": \"1.5\",\n                \"clickableInfo\": {\n                    \"enabled\": true,\n                    \"latex\": \"u_{lang}\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"78\",\n                \"folderId\": \"66\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\frac{26+36}{2},\\\\frac{12+15}{2}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Ulang\",\n                \"hidden\": true,\n                \"labelSize\": \".9\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"2\",\n                \"title\": \"Warna\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"58\",\n                \"folderId\": \"2\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"w_{putih}=\\\\operatorname{rgb}\\\\left(255,255,255\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"3\",\n                \"folderId\": \"2\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"b_{langit}=\\\\operatorname{rgb}\\\\left(168,227,240\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"4\",\n                \"folderId\": \"2\",\n                \"color\": \"#388c46\",\n                \"latex\": \"h_{rumput}=\\\\operatorname{rgb}\\\\left(137,195,112\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"5\",\n                \"folderId\": \"2\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"t_{anah1}=\\\\operatorname{rgb}\\\\left(39,34,28\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"6\",\n                \"folderId\": \"2\",\n                \"color\": \"#000000\",\n                \"latex\": \"t_{anah2}=\\\\operatorname{rgb}\\\\left(146,104,41\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"7\",\n                \"folderId\": \"2\",\n                \"color\": \"#c74440\",\n                \"latex\": \"t_{anah3}=\\\\operatorname{rgb}\\\\left(234,182,79\\\\right)\"\n            }\n        ],\n        \"ticker\": {\n            \"handlerLatex\": \"\\\\left\\\\{P=1:j_{alan}\\\\left(\\\\operatorname{dt}\\\\right),j_{alan}\\\\left(0\\\\right)\\\\right\\\\}\",\n            \"playing\": true,\n            \"open\": true\n        }\n    },\n    \"includeFunctionParametersInRandomSeed\": true,\n    \"doNotMigrateMovablePointStyle\": true\n};\n\n  var state2 = {\n    \"version\": 11,\n    \"randomSeed\": \"f76156a99dd715f595d98ffb9dd18ec3\",\n    \"graph\": {\n        \"viewport\": {\n            \"xmin\": -5,\n            \"ymin\": -7.5,\n            \"xmax\": 35,\n            \"ymax\": 65\n        },\n        \"showGrid\": false,\n        \"xAxisArrowMode\": \"POSITIVE\",\n        \"yAxisArrowMode\": \"POSITIVE\",\n        \"xAxisLabel\": \"Waktu (s)\",\n        \"yAxisLabel\": \"Jarak (m)\",\n        \"userLockedViewport\": true,\n        \"squareAxes\": false,\n        \"__v12ViewportLatexStash\": {\n            \"xmin\": \"-5\",\n            \"xmax\": \"35\",\n            \"ymin\": \"-7.5\",\n            \"ymax\": \"65\"\n        }\n    },\n    \"expressions\": {\n        \"list\": [\n            {\n                \"type\": \"folder\",\n                \"id\": \"2\",\n                \"title\": \"Variabel\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"3\",\n                \"folderId\": \"2\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"t_{s}=0\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"0\",\n                    \"max\": \"30\"\n                }\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"17\",\n                \"title\": \"Bantuan koordinat:\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"18\",\n                \"folderId\": \"17\",\n                \"color\": \"#000000\",\n                \"latex\": \"x=t_{s}\\\\left\\\\{0\\\\le y\\\\le F\\\\left(t_{s}\\\\right)\\\\right\\\\}\",\n                \"lineStyle\": \"DASHED\",\n                \"lineOpacity\": \".6\",\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"19\",\n                \"folderId\": \"17\",\n                \"color\": \"#000000\",\n                \"latex\": \"y=F\\\\left(t_{s}\\\\right)\\\\left\\\\{0\\\\le x\\\\le t_{s}\\\\right\\\\}\",\n                \"lineStyle\": \"DASHED\",\n                \"lineOpacity\": \".6\",\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"5\",\n                \"title\": \"Model\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"10\",\n                \"folderId\": \"5\",\n                \"text\": \"Fungsi jarak:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"11\",\n                \"folderId\": \"5\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"F\\\\left(x\\\\right)=\\\\left\\\\{0\\\\le x<10:3.5x-\\\\frac{35}{\\\\pi}\\\\sin\\\\left(\\\\frac{\\\\pi x}{10}\\\\right),10\\\\le x<15:35+\\\\frac{17.5}{\\\\pi}\\\\sin\\\\left(\\\\frac{\\\\pi}{5}\\\\left(x-10\\\\right)\\\\right)+3.5\\\\left(x-10\\\\right),15\\\\le x<25:52.5+\\\\frac{12.5}{\\\\pi}\\\\sin\\\\left(\\\\frac{\\\\pi}{5}\\\\left(x-15\\\\right)\\\\right)-2.5\\\\left(x-15\\\\right),25\\\\le x<28:27.5+1.5\\\\left(x-25\\\\right)-\\\\frac{4.5}{\\\\pi}\\\\sin\\\\left(\\\\frac{\\\\pi}{3}\\\\left(x-25\\\\right)\\\\right),28\\\\le x\\\\le30:32+1.5\\\\left(x-28\\\\right)+\\\\frac{3}{\\\\pi}\\\\sin\\\\left(\\\\frac{\\\\pi}{2}\\\\left(x-28\\\\right)\\\\right)\\\\right\\\\}\",\n                \"lineOpacity\": \".3\",\n                \"lineWidth\": \"3\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"14\",\n                \"folderId\": \"5\",\n                \"text\": \"Animasi:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"12\",\n                \"folderId\": \"5\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"F\\\\left(x\\\\right)\\\\left\\\\{0\\\\le x\\\\le t_{s}\\\\right\\\\}\",\n                \"lineOpacity\": \"1\",\n                \"lineWidth\": \"3\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"15\",\n                \"folderId\": \"5\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"\\\\left(t_{s},F\\\\left(t_{s}\\\\right)\\\\right)\",\n                \"dragMode\": \"NONE\"\n            }\n        ]\n    },\n    \"includeFunctionParametersInRandomSeed\": true,\n    \"doNotMigrateMovablePointStyle\": true\n};\n  \n  var state3 = {\n    \"version\": 11,\n    \"randomSeed\": \"f76156a99dd715f595d98ffb9dd18ec3\",\n    \"graph\": {\n        \"viewport\": {\n            \"xmin\": -5,\n            \"ymin\": -28.75,\n            \"xmax\": 35,\n            \"ymax\": 28.75\n        },\n        \"showGrid\": false,\n        \"xAxisArrowMode\": \"POSITIVE\",\n        \"yAxisArrowMode\": \"POSITIVE\",\n        \"xAxisLabel\": \"Waktu (s)\",\n        \"yAxisLabel\": \"Kecepatan (m\/s)\",\n        \"userLockedViewport\": true,\n        \"squareAxes\": false,\n        \"__v12ViewportLatexStash\": {\n            \"xmin\": \"-5\",\n            \"xmax\": \"35\",\n            \"ymin\": \"-28.75\",\n            \"ymax\": \"28.75\"\n        }\n    },\n    \"expressions\": {\n        \"list\": [\n            {\n                \"type\": \"folder\",\n                \"id\": \"2\",\n                \"title\": \"Variabel\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"3\",\n                \"folderId\": \"2\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"t_{s}=0\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"0\",\n                    \"max\": \"30\"\n                }\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"17\",\n                \"title\": \"Bantuan koordinat:\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"18\",\n                \"folderId\": \"17\",\n                \"color\": \"#000000\",\n                \"latex\": \"x=t_{s}\\\\left\\\\{0\\\\le y\\\\le f\\\\left(t_{s}\\\\right)\\\\right\\\\}\\\\left\\\\{f\\\\left(t_{s}\\\\right)\\\\ge0\\\\right\\\\}\",\n                \"lineStyle\": \"DASHED\",\n                \"lineOpacity\": \".6\",\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"21\",\n                \"folderId\": \"17\",\n                \"color\": \"#000000\",\n                \"latex\": \"x=t_{s}\\\\left\\\\{f\\\\left(t_{s}\\\\right)\\\\le y\\\\le0\\\\right\\\\}\\\\left\\\\{f\\\\left(t_{s}\\\\right)<0\\\\right\\\\}\",\n                \"lineStyle\": \"DASHED\",\n                \"lineOpacity\": \".6\",\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"19\",\n                \"folderId\": \"17\",\n                \"color\": \"#000000\",\n                \"latex\": \"y=f\\\\left(t_{s}\\\\right)\\\\left\\\\{0\\\\le x\\\\le t_{s}\\\\right\\\\}\",\n                \"lineStyle\": \"DASHED\",\n                \"lineOpacity\": \".6\",\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"5\",\n                \"title\": \"Model\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"7\",\n                \"folderId\": \"5\",\n                \"text\": \"Fungsi kecepatan:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"8\",\n                \"folderId\": \"5\",\n                \"color\": \"#c74440\",\n                \"latex\": \"f\\\\left(x\\\\right)=\\\\left\\\\{0\\\\le x<10:3.5\\\\left(1-\\\\cos\\\\left(\\\\frac{\\\\pi}{10}x\\\\right)\\\\right),10\\\\le x<15:3.5\\\\cos\\\\left(\\\\frac{\\\\pi}{5}\\\\left(x-10\\\\right)\\\\right)+3.5,15\\\\le x<25:2.5\\\\cos\\\\left(\\\\frac{\\\\pi}{5}\\\\left(x-15\\\\right)\\\\right)-2.5,25\\\\le x<28:1.5-1.5\\\\cos\\\\left(\\\\frac{\\\\pi}{3}\\\\left(x-25\\\\right)\\\\right),28\\\\le x\\\\le30:1.5+1.5\\\\cos\\\\left(\\\\frac{\\\\pi}{2}\\\\left(x-28\\\\right)\\\\right)\\\\right\\\\}\",\n                \"lineOpacity\": \".3\",\n                \"lineWidth\": \"3\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"14\",\n                \"folderId\": \"5\",\n                \"text\": \"Animasi:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"22\",\n                \"folderId\": \"5\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left\\\\{0\\\\le x<10:3.5\\\\left(1-\\\\cos\\\\left(\\\\frac{\\\\pi}{10}x\\\\right)\\\\right),10\\\\le x<15:3.5\\\\cos\\\\left(\\\\frac{\\\\pi}{5}\\\\left(x-10\\\\right)\\\\right)+3.5,15\\\\le x<25:2.5\\\\cos\\\\left(\\\\frac{\\\\pi}{5}\\\\left(x-15\\\\right)\\\\right)-2.5,25\\\\le x<28:1.5-1.5\\\\cos\\\\left(\\\\frac{\\\\pi}{3}\\\\left(x-25\\\\right)\\\\right),28\\\\le x\\\\le30:1.5+1.5\\\\cos\\\\left(\\\\frac{\\\\pi}{2}\\\\left(x-28\\\\right)\\\\right)\\\\right\\\\}\\\\left\\\\{0\\\\le x\\\\le t_{s}\\\\right\\\\}\",\n                \"lineWidth\": \"3\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"15\",\n                \"folderId\": \"5\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(t_{s},f\\\\left(t_{s}\\\\right)\\\\right)\",\n                \"dragMode\": \"NONE\"\n            }\n        ]\n    },\n    \"includeFunctionParametersInRandomSeed\": true,\n    \"doNotMigrateMovablePointStyle\": true\n};\n  var state4 = {\n    \"version\": 11,\n    \"randomSeed\": \"f76156a99dd715f595d98ffb9dd18ec3\",\n    \"graph\": {\n        \"viewport\": {\n            \"xmin\": -5,\n            \"ymin\": -28.75,\n            \"xmax\": 35,\n            \"ymax\": 28.75\n        },\n        \"xAxisArrowMode\": \"POSITIVE\",\n        \"yAxisArrowMode\": \"POSITIVE\",\n        \"xAxisLabel\": \"Waktu (s)\",\n        \"yAxisLabel\": \"Kecepatan (m\/s)\",\n        \"userLockedViewport\": true,\n        \"squareAxes\": false,\n        \"__v12ViewportLatexStash\": {\n            \"xmin\": \"-5\",\n            \"xmax\": \"35\",\n            \"ymin\": \"-28.75\",\n            \"ymax\": \"28.75\"\n        }\n    },\n    \"expressions\": {\n        \"list\": [\n            {\n                \"type\": \"folder\",\n                \"id\": \"24\",\n                \"title\": \"Parameter\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"26\",\n                \"folderId\": \"24\",\n                \"color\": \"#388c46\",\n                \"latex\": \"h_{1}=10\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"3\",\n                    \"max\": \"\\\\frac{9}{10}h_{2}\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"25\",\n                \"folderId\": \"24\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"h_{2}=15\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"5\",\n                    \"max\": \"30\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"33\",\n                \"folderId\": \"24\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"k_{1}=8\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"-20\",\n                    \"max\": \"20\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"34\",\n                \"folderId\": \"24\",\n                \"color\": \"#000000\",\n                \"latex\": \"k_{2}=-5\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"-20\",\n                    \"max\": \"20\"\n                }\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"29\",\n                \"folderId\": \"24\",\n                \"text\": \"Titik-titik pengatur:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"36\",\n                \"folderId\": \"24\",\n                \"color\": \"#c74440\",\n                \"latex\": \"A_{1}=\\\\left(\\\\frac{h_{1}}{2},k_{1}\\\\right)\",\n                \"dragMode\": \"Y\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"30\",\n                \"folderId\": \"24\",\n                \"color\": \"#c74440\",\n                \"latex\": \"A_{2}=\\\\left(h_{1},0\\\\right)\",\n                \"dragMode\": \"X\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"37\",\n                \"folderId\": \"24\",\n                \"color\": \"#c74440\",\n                \"latex\": \"A_{3}=\\\\left(\\\\frac{h_{1}+h_{2}}{2},k_{2}\\\\right)\",\n                \"dragMode\": \"Y\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"31\",\n                \"folderId\": \"24\",\n                \"color\": \"#c74440\",\n                \"latex\": \"A_{4}=\\\\left(h_{2},0\\\\right)\",\n                \"dragMode\": \"X\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"5\",\n                \"title\": \"Model\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"7\",\n                \"folderId\": \"5\",\n                \"text\": \"Fungsi kecepatan:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"38\",\n                \"folderId\": \"5\",\n                \"color\": \"#c74440\",\n                \"latex\": \"f\\\\left(x\\\\right)=\\\\left\\\\{0\\\\le x<h_{1}:\\\\frac{k_{1}}{2}\\\\left(1-\\\\cos\\\\left(\\\\frac{2\\\\pi}{h_{1}}x\\\\right)\\\\right),h_{1}\\\\le x\\\\le h_{2}:\\\\frac{k_{2}}{2}\\\\left(1-\\\\cos\\\\left(\\\\frac{2\\\\pi}{h_{2}-h_{1}}\\\\left(x-h_{1}\\\\right)\\\\right)\\\\right)\\\\right\\\\}\",\n                \"lineWidth\": \"3\"\n            }\n        ]\n    },\n    \"includeFunctionParametersInRandomSeed\": true,\n    \"doNotMigrateMovablePointStyle\": true\n};\n  var state5 = {\n    \"version\": 11,\n    \"randomSeed\": \"f76156a99dd715f595d98ffb9dd18ec3\",\n    \"graph\": {\n        \"viewport\": {\n            \"xmin\": -5,\n            \"ymin\": -15,\n            \"xmax\": 35,\n            \"ymax\": 65\n        },\n        \"yAxisStep\": 10,\n        \"xAxisArrowMode\": \"POSITIVE\",\n        \"yAxisArrowMode\": \"POSITIVE\",\n        \"xAxisLabel\": \"Waktu (s)\",\n        \"yAxisLabel\": \"Jarak (m)\",\n        \"userLockedViewport\": true,\n        \"squareAxes\": false,\n        \"__v12ViewportLatexStash\": {\n            \"xmin\": \"-5\",\n            \"xmax\": \"35\",\n            \"ymin\": \"-15\",\n            \"ymax\": \"65\"\n        }\n    },\n    \"expressions\": {\n        \"list\": [\n            {\n                \"type\": \"folder\",\n                \"id\": \"24\",\n                \"title\": \"Parameter\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"26\",\n                \"folderId\": \"24\",\n                \"color\": \"#388c46\",\n                \"latex\": \"h_{1}=21.9\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"3\",\n                    \"max\": \"\\\\frac{9}{10}h_{2}\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"25\",\n                \"folderId\": \"24\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"h_{2}=33.8\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"5\",\n                    \"max\": \"45\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"33\",\n                \"folderId\": \"24\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"k_{1}=2.35\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"-20\",\n                    \"max\": \"20\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"34\",\n                \"folderId\": \"24\",\n                \"color\": \"#000000\",\n                \"latex\": \"k_{2}=-3.3\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"-20\",\n                    \"max\": \"20\"\n                }\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"5\",\n                \"title\": \"Model\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"40\",\n                \"folderId\": \"5\",\n                \"text\": \"Fungsi jarak:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"41\",\n                \"folderId\": \"5\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"F\\\\left(x\\\\right)=\\\\left\\\\{0\\\\le x<h_{1}:\\\\frac{k_{1}}{2}x-\\\\frac{k_{1}h_{1}}{4\\\\pi}\\\\sin\\\\left(\\\\frac{2\\\\pi}{h_{1}}x\\\\right),h_{1}\\\\le x\\\\le h_{2}:\\\\frac{k_{1}h_{1}}{2}+\\\\frac{k_{2}}{2}\\\\left(x-h_{1}\\\\right)-\\\\frac{k_{2}\\\\left(h_{2}-h_{1}\\\\right)}{4\\\\pi}\\\\sin\\\\left(\\\\frac{2\\\\pi}{h_{2}-h_{1}}\\\\left(x-h_{1}\\\\right)\\\\right)\\\\right\\\\}\",\n                \"lineWidth\": \"3\"\n            }\n        ]\n    },\n    \"includeFunctionParametersInRandomSeed\": true,\n    \"doNotMigrateMovablePointStyle\": true\n};\n\n  var state6 = {\n    \"version\": 11,\n    \"graph\": {\n        \"viewport\": {\n            \"xmin\": -15.486916839029448,\n            \"ymin\": -57.37668939076535,\n            \"xmax\": 64.51308316097058,\n            \"ymax\": 62.47517150333192\n        },\n        \"showGrid\": false,\n        \"showXAxis\": false,\n        \"showYAxis\": false,\n        \"userLockedViewport\": true,\n        \"__v12ViewportLatexStash\": {\n            \"xmin\": \"-15.486916839029448\",\n            \"xmax\": \"64.51308316097058\",\n            \"ymin\": \"-57.37668939076535\",\n            \"ymax\": \"62.47517150333192\"\n        }\n    },\n    \"expressions\": {\n        \"list\": [\n            {\n                \"type\": \"folder\",\n                \"id\": \"99\",\n                \"title\": \"Parameter\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"108\",\n                \"folderId\": \"99\",\n                \"text\": \"Parameter untuk fungsi:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"100\",\n                \"folderId\": \"99\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"h_{1}=20\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"3\",\n                    \"max\": \"\\\\frac{9}{10}h_{2}\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"101\",\n                \"folderId\": \"99\",\n                \"color\": \"#c74440\",\n                \"latex\": \"h_{2}=30\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"5\",\n                    \"max\": \"45\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"102\",\n                \"folderId\": \"99\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"k_{1}=3\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"-20\",\n                    \"max\": \"20\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"103\",\n                \"folderId\": \"99\",\n                \"color\": \"#388c46\",\n                \"latex\": \"k_{2}=5\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"-20\",\n                    \"max\": \"20\"\n                }\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"110\",\n                \"folderId\": \"99\",\n                \"text\": \"Parameter untuk tantangan:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"148\",\n                \"folderId\": \"99\",\n                \"color\": \"#c74440\",\n                \"latex\": \"R_{awal}=\\\\operatorname{random}\\\\left(40\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"149\",\n                \"folderId\": \"99\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"i=\\\\left[1,2\\\\right]\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"1\",\n                    \"max\": \"40\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"150\",\n                \"folderId\": \"99\",\n                \"color\": \"#388c46\",\n                \"latex\": \"l_{agi}=i\\\\to\\\\operatorname{mod}\\\\left(i+1,40\\\\right)+1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"112\",\n                \"folderId\": \"99\",\n                \"color\": \"#c74440\",\n                \"latex\": \"R=R_{awal}\\\\left[i\\\\right]\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"111\",\n                \"folderId\": \"99\",\n                \"color\": \"#000000\",\n                \"latex\": \"t_{iang1}=\\\\operatorname{round}\\\\left(30+R\\\\left[1\\\\right]\\\\cdot34\\\\right)\",\n                \"slider\": {\n                    \"hardMax\": true,\n                    \"max\": \"65\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"113\",\n                \"folderId\": \"99\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"t_{iang2}=\\\\operatorname{round}\\\\left(\\\\left(\\\\frac{2}{6}+\\\\frac{R\\\\left[2\\\\right]\\\\cdot3}{6}\\\\right)\\\\cdot t_{iang1}\\\\right)\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"51\",\n                \"title\": \"Variabel\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"82\",\n                \"folderId\": \"51\",\n                \"text\": \"Waktu:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"52\",\n                \"folderId\": \"51\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"t_{0}=0\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"animationPeriod\": 40000,\n                    \"loopMode\": \"PLAY_ONCE\",\n                    \"min\": \"0\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"89\",\n                \"folderId\": \"51\",\n                \"color\": \"#c74440\",\n                \"latex\": \"t_{s}=\\\\frac{t_{0}}{1000}\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"84\",\n                \"folderId\": \"51\",\n                \"text\": \"Aksi:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"86\",\n                \"folderId\": \"51\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"T_{maks}=h_{2}\\\\cdot1000\",\n                \"hidden\": true,\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"0\",\n                    \"max\": \"60000\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"85\",\n                \"folderId\": \"51\",\n                \"color\": \"#388c46\",\n                \"latex\": \"j_{alan}\\\\left(x\\\\right)=t_{0}\\\\to\\\\min\\\\left(t_{0}+x,T_{maks}\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"87\",\n                \"folderId\": \"51\",\n                \"color\": \"#000000\",\n                \"latex\": \"u_{lang}=t_{0}\\\\to0\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"9\",\n                \"title\": \"Latar\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": 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},\n            {\n                \"type\": \"expression\",\n                \"id\": \"168\",\n                \"folderId\": \"105\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"\\\\left(x-t_{iang2}\\\\right)^{2}+\\\\left(y-5\\\\right)^{2}\\\\le4^{2}\\\\left\\\\{3.5^{2}\\\\le\\\\left(x-t_{iang2}\\\\right)^{2}+\\\\left(y-5\\\\right)^{2}\\\\right\\\\}\\\\left\\\\{I_{2}=1\\\\right\\\\}\\\\left\\\\{t_{s}\\\\ge h_{2}-0.5\\\\right\\\\}\",\n                \"lines\": false,\n                \"colorLatex\": \"w_{putih}\",\n                \"fillOpacity\": \".1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"127\",\n                \"folderId\": \"105\",\n                \"color\": \"#388c46\",\n                \"latex\": \"\\\\left(x-t_{iang2}\\\\right)^{2}+\\\\left(y-5\\\\right)^{2}\\\\le1.5^{2}\",\n                \"lines\": false,\n                \"colorLatex\": \"c_{ahaya2}\",\n                \"fillOpacity\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"178\",\n                \"folderId\": \"105\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(t_{iang2},5\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"2\",\n                \"hidden\": true,\n                \"labelSize\": \".8\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"20\",\n                \"title\": \"Model\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"47\",\n                \"folderId\": \"20\",\n                \"text\": \"Fungsi jarak:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"48\",\n                \"folderId\": \"20\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"F\\\\left(x\\\\right)=\\\\left\\\\{0\\\\le x<h_{1}:\\\\frac{k_{1}}{2}x-\\\\frac{k_{1}h_{1}}{4\\\\pi}\\\\sin\\\\left(\\\\frac{2\\\\pi}{h_{1}}x\\\\right),h_{1}\\\\le x\\\\le h_{2}:\\\\frac{k_{1}h_{1}}{2}+\\\\frac{k_{2}}{2}\\\\left(x-h_{1}\\\\right)-\\\\frac{k_{2}\\\\left(h_{2}-h_{1}\\\\right)}{4\\\\pi}\\\\sin\\\\left(\\\\frac{2\\\\pi}{h_{2}-h_{1}}\\\\left(x-h_{1}\\\\right)\\\\right)\\\\right\\\\}\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"42\",\n                \"folderId\": \"20\",\n                \"text\": \"Orang bergerak:\"\n            },\n            {\n                \"type\": \"image\",\n                \"id\": \"22\",\n                \"folderId\": \"20\",\n                \"image_url\": \"https:\/\/uploads.desmos.com\/calculator-images\/a0596019c2dbea7d9469160d47d8b819\",\n                \"name\": \"orang.png\",\n                \"foreground\": true,\n                \"center\": \"\\\\left(F\\\\left(t_{s}\\\\right),1.5\\\\right)\",\n                \"width\": \"\\\\frac{3.1}{10}\\\\cdot3\",\n                \"height\": \"3\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"66\",\n                \"title\": \"Tombol\",\n                \"collapsed\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"77\",\n                \"folderId\": \"66\",\n                \"text\": \"Kondisi:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"75\",\n                \"folderId\": \"66\",\n                \"color\": \"#388c46\",\n                \"latex\": \"P=0\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"0\",\n                    \"max\": \"1\",\n                    \"step\": 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\"type\": \"expression\",\n                \"id\": \"90\",\n                \"folderId\": \"66\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(25,\\\\frac{12+15}{2}\\\\left\\\\{P=1\\\\right\\\\}\\\\left\\\\{L_{ogika}\\\\le1\\\\right\\\\}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Ulang\",\n                \"hidden\": true,\n                \"labelSize\": \".9\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"72\",\n                \"folderId\": \"66\",\n                \"text\": \"Main lagi:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"80\",\n                \"folderId\": \"66\",\n                \"color\": \"#000000\",\n                \"latex\": 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{\n                \"type\": \"text\",\n                \"id\": \"139\",\n                \"folderId\": \"133\",\n                \"text\": \"Indikator 2:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"140\",\n                \"folderId\": \"133\",\n                \"color\": \"#c74440\",\n                \"latex\": \"d_{2}=\\\\operatorname{abs}\\\\left(F\\\\left(h_{2}\\\\right)-t_{iang2}\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"141\",\n                \"folderId\": \"133\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"I_{2}=\\\\left\\\\{d_{2}\\\\le0.6:1,0\\\\right\\\\}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"179\",\n                \"folderId\": \"133\",\n                \"color\": \"#c74440\",\n                \"latex\": 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70,\n\t\t\t\torigin: { x: 1, y: 1 }\n\t\t\t});\n\t\t\tconfettiSudahMuncul = true;\n\t\t}\n\t}\n\tif (nilai !== 1) {\n\t\tconfettiSudahMuncul = false;\n\t}\n  });\n\n<\/script>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-group is-style-twentytwentyone-border\"><div class=\"wp-block-group__inner-container\">\n<div class=\"related-topics\">\n  <h3>Jelajahi topik-topik terkait<\/h3>\n  <p>Temukan konten-konten terkait lainnya dalam situs web ini.<\/p>\n  <ul class=\"topics-list\">\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Matematika\">Matematika<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Fisika\">Fisika<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Kinematika\">Kinematika<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Fungsi\">Fungsi<\/a><\/li>\n\t<li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Jarak\">Jarak<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Kecepatan\">Kecepatan<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Pembelajaran+Berbasis+Gim\">Pembelajaran Berbasis Gim<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Sumber+Belajar+Interaktif\">Sumber Belajar Interaktif<\/a><\/li>\n  <\/ul>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bagaimana keterkaitan antara jarak dan kecepatan? Dengan mengetahui seberapa cepat seseorang bergerak, apakah kamu dapat menentukan jarak orang tersebut? Dengan simulasi di laman ini, kamu akan melihat bagaimana kedua kuantitas tersebut terkait satu sama lain setiap waktunya. Klik &#8220;Mainkan&#8221; untuk memainkan simulasinya! Amati pergerakan orangnya, bandingkan grafik jarak dan kecepatan orang tersebut setiap waktunya. Grafik&hellip; <a class=\"more-link\" href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/media-pengajaran\/mengoneksikan-jarak-dan-kecepatan\/\">Continue reading <span class=\"screen-reader-text\">Mengoneksikan Jarak dan Kecepatan<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":1718,"parent":882,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mengoneksikan Jarak dan Kecepatan<\/title>\n<meta name=\"description\" content=\"Jelajahi hubungan antara jarak dan kecepatan melalui simulasi interaktif dan sebuah gim yang menghidupkan Teorema Fundamental Kalkulus.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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