{"id":1131,"date":"2025-09-01T21:50:02","date_gmt":"2025-09-01T14:50:02","guid":{"rendered":"https:\/\/people.usd.ac.id\/~ydkristanto\/?page_id=1131"},"modified":"2025-09-09T15:01:24","modified_gmt":"2025-09-09T08:01:24","slug":"problem-solving-projectile-motion","status":"publish","type":"page","link":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/learning-resources\/problem-solving-projectile-motion\/","title":{"rendered":"Problem Solving: Hit the Target!"},"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\/media-pengajaran\/pemecahan-masalah-parabola\/\">ID<\/a><\/div>\n<\/div>\n\n\n\n<p>Want to play a game like <em>Angry Birds<\/em> while doing some math? The game Hit the Target! helps you practice understanding graphs while aiming for an accurate shot. The game has two windows: graph window showing two graphs, red and blue, representing the ball\u2019s height and horizontal distance over time; play window, where you launch the ball and see if it hits the target.<\/p>\n\n\n\n<div class=\"wp-block-group alignfull has-dark-gray-background-color has-background\"><div class=\"wp-block-group__inner-container\">\n<h3 class=\"has-text-align-center\">Hit the Target!<\/h3>\n\n\n\n<p>Adjust the graphs, launch the ball, and try to hit the target in as few attempts as possible!<\/p>\n\n\n\n<div class=\"wp-block-columns alignwide\">\n<div class=\"wp-block-column\">\n<div id=\"calculator1\" class=\"aligncenter size-full\" style=\"width: 480px; height: 480px;\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column\">\n<div id=\"calculator2\" class=\"aligncenter size-full\" style=\"width: 480px; height: 480px;\"><\/div>\n\n<script>\n  var calculator1 = Desmos.GraphingCalculator(document.getElementById('calculator1'), {\n    expressions: false,\n    settingsMenu: false\n  });\n  var calculator2 = Desmos.GraphingCalculator(document.getElementById('calculator2'), {\n    expressions: false,\n    settingsMenu: false,\n    trace: false\n  });\n\n  var state1 = {\n    \"version\": 11,\n    \"graph\": {\n        \"viewport\": {\n            \"xmin\": -5,\n            \"ymin\": -2,\n            \"xmax\": 80,\n            \"ymax\": 10\n        },\n        \"xAxisStep\": 5,\n        \"yAxisStep\": 1,\n        \"xAxisArrowMode\": \"POSITIVE\",\n        \"yAxisArrowMode\": \"POSITIVE\",\n        \"xAxisLabel\": \"Height\/horizontal dist. (m)\",\n        \"yAxisLabel\": \"Time (s)\",\n        \"userLockedViewport\": true,\n        \"squareAxes\": false,\n        \"__v12ViewportLatexStash\": {\n            \"xmin\": \"-5\",\n            \"xmax\": \"80\",\n            \"ymin\": \"-2\",\n            \"ymax\": \"10\"\n        }\n    },\n    \"expressions\": {\n        \"list\": [\n            {\n                \"type\": \"folder\",\n                \"id\": \"79\",\n                \"title\": \"Diketahui\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"80\",\n                \"folderId\": \"79\",\n                \"color\": \"#c74440\",\n                \"latex\": \"t_{0}=0\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"min\": \"0\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"8\",\n                \"folderId\": \"79\",\n                \"color\": \"#c74440\",\n                \"latex\": \"y_{maks}=40\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"0\",\n                    \"max\": \"80\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"57\",\n                \"folderId\": \"79\",\n                \"color\": \"#c74440\",\n                \"latex\": \"x_{maks}=30\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"0\",\n                    \"max\": \"80\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"58\",\n                \"folderId\": \"79\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"g=9.8\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"82\",\n                \"title\": \"Bantuan koordinat\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"83\",\n                \"folderId\": \"82\",\n                \"color\": \"#000000\",\n                \"latex\": \"x=0\\\\left\\\\{0\\\\le y\\\\le t_{0}\\\\right\\\\}\\\\left\\\\{t_{0}>0\\\\right\\\\}\",\n                \"lineOpacity\": \".4\",\n                \"lineWidth\": \"5\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"84\",\n                \"folderId\": \"82\",\n                \"color\": \"#000000\",\n                \"latex\": \"y=t_{0}\\\\left\\\\{0\\\\le x\\\\le\\\\max\\\\left(x_{t}\\\\left(t_{0}\\\\right),y_{t}\\\\left(t_{0}\\\\right)\\\\right)\\\\right\\\\}\\\\left\\\\{t_{0}>0\\\\right\\\\}\",\n   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\"id\": \"2\",\n                \"title\": \"Model\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"59\",\n                \"folderId\": \"2\",\n                \"color\": \"#388c46\",\n                \"latex\": \"v_{0x}=\\\\frac{x_{maks}\\\\sqrt{g}}{2\\\\sqrt{2\\\\cdot y_{maks}}}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"60\",\n                \"folderId\": \"2\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"v_{0y}=\\\\sqrt{2\\\\cdot g\\\\cdot y_{maks}}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"61\",\n                \"folderId\": \"2\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"x_{t}\\\\left(y\\\\right)=\\\\left\\\\{0\\\\le y<\\\\frac{2v_{0y}}{g}:v_{0x}\\\\cdot y,y\\\\ge\\\\frac{2v_{0y}}{g}:\\\\frac{2v_{0x}v_{0y}}{g}\\\\right\\\\}\",\n                \"lineOpacity\": \"\\\\left\\\\{t_{0}=0:1,0.4\\\\right\\\\}\",\n                \"lineWidth\": \"4\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"62\",\n                \"folderId\": \"2\",\n                \"color\": \"#c74440\",\n                \"latex\": \"y_{t}\\\\left(y\\\\right)=\\\\left\\\\{0\\\\le y<\\\\frac{2v_{0y}}{g}:v_{0y}\\\\cdot y-\\\\frac{1}{2}g\\\\cdot y^{2},y\\\\ge\\\\frac{2v_{0y}}{g}:0\\\\right\\\\}\",\n                \"lineOpacity\": \"\\\\left\\\\{t_{0}=0:1,0.4\\\\right\\\\}\",\n                \"lineWidth\": \"4\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"89\",\n                \"folderId\": \"2\",\n                \"color\": \"#388c46\",\n                \"latex\": \"l_{abelX}=\\\\operatorname{round}\\\\left(x_{t}\\\\left(t_{0}\\\\right),2\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"90\",\n                \"folderId\": \"2\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"l_{abelY}=\\\\operatorname{round}\\\\left(y_{t}\\\\left(t_{0}\\\\right),2\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"87\",\n                \"folderId\": \"2\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"\\\\left(x_{t}\\\\left(t_{0}\\\\right),t_{0}\\\\left\\\\{t_{0}>0\\\\right\\\\}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`\\\\left(${l_{abelX}}, ${t_0}\\\\right)`\",\n                \"dragMode\": \"NONE\",\n                \"labelSize\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"88\",\n                \"folderId\": \"2\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(y_{t}\\\\left(t_{0}\\\\right),t_{0}\\\\left\\\\{t_{0}>0\\\\right\\\\}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"`\\\\left(${l_{abelY}}, ${t_0}\\\\right)`\",\n                \"dragMode\": \"NONE\",\n                \"labelSize\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"64\",\n                \"folderId\": \"2\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"\\\\left(x_{maks},\\\\frac{2v_{0y}}{g}\\\\left\\\\{t_{0}=0\\\\right\\\\}\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"63\",\n                \"folderId\": \"2\",\n                \"color\": \"#c74440\",\n                \"latex\": \"\\\\left(y_{maks},\\\\frac{v_{0y}}{g}\\\\left\\\\{t_{0}=0\\\\right\\\\}\\\\right)\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"66\",\n                \"title\": \"Legenda\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"77\",\n                \"folderId\": \"66\",\n                \"color\": \"#c74440\",\n                \"latex\": \"c=10\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"68\",\n                \"folderId\": \"66\",\n                \"text\": \"Latar dan bingkai:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"69\",\n                \"folderId\": \"66\",\n                \"color\": \"#388c46\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(70+c,10\\\\right),\\\\left(22.5+c,10\\\\right),\\\\left(22.5+c,8.5\\\\right),\\\\left(70+c,8.5\\\\right)\\\\right)\",\n                \"lines\": false,\n                \"colorLatex\": \"p_{utih}\",\n                \"fillOpacity\": \".6\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"70\",\n                \"folderId\": \"66\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(70+c,10\\\\right),\\\\left(22.5+c,10\\\\right),\\\\left(22.5+c,8.5\\\\right),\\\\left(70+c,8.5\\\\right)\\\\right)\",\n                \"fill\": false,\n                \"lines\": true,\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"72\",\n                \"folderId\": \"66\",\n                \"text\": \"Teks:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"73\",\n                \"folderId\": \"66\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(32.5+c,9.5\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Height over time\",\n                \"hidden\": true,\n                \"labelOrientation\": \"right\",\n                \"labelSize\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"74\",\n                \"folderId\": \"66\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(32.5+c,9\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Horizontal dist. over time\",\n                \"hidden\": true,\n                \"labelOrientation\": \"right\",\n                \"labelSize\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"75\",\n                \"folderId\": \"66\",\n                \"color\": \"#c74440\",\n                \"latex\": \"y=9.5\\\\left\\\\{25+c\\\\le x\\\\le30+c\\\\right\\\\}\",\n                \"lineWidth\": \"4\"\n            },\n            {\n                \"type\": 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\"doNotMigrateMovablePointStyle\": true\n};\n\n  var state2 = {\n    \"version\": 11,\n    \"graph\": {\n        \"viewport\": {\n            \"xmin\": -4.999999999999986,\n            \"ymin\": -10,\n            \"xmax\": 75.00000000000009,\n            \"ymax\": 70\n        },\n        \"showGrid\": false,\n        \"showXAxis\": false,\n        \"showYAxis\": false,\n        \"xAxisStep\": 5,\n        \"yAxisStep\": 5,\n        \"xAxisNumbers\": false,\n        \"yAxisNumbers\": false,\n        \"polarNumbers\": false,\n        \"userLockedViewport\": true,\n        \"squareAxes\": false,\n        \"__v12ViewportLatexStash\": {\n            \"xmin\": \"-4.999999999999986\",\n            \"xmax\": \"75.00000000000009\",\n            \"ymin\": \"-10\",\n            \"ymax\": \"70\"\n        }\n    },\n    \"expressions\": {\n        \"list\": [\n            {\n                \"type\": \"folder\",\n                \"id\": \"207\",\n                \"title\": \"Diketahui\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"15\",\n                \"folderId\": \"207\",\n                \"text\": \"Waktu (s):\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"232\",\n                \"folderId\": \"207\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"t_{ms}=0\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"0\",\n                    \"max\": \"t_{maks}\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"16\",\n                \"folderId\": \"207\",\n                \"color\": \"#c74440\",\n                \"latex\": \"t_{0}=\\\\frac{t_{ms}}{1000}\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"loopMode\": \"PLAY_ONCE\",\n                    \"min\": \"0\",\n                    \"max\": \"\\\\frac{t_{maks}}{1000}\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"230\",\n                \"folderId\": \"207\",\n                \"color\": \"#000000\",\n                \"latex\": \"t_{maks}=10000\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"0\",\n                    \"max\": \"30000\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"229\",\n                \"folderId\": \"207\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"j_{alan}\\\\left(x\\\\right)=t_{ms}\\\\to\\\\min\\\\left(t_{ms}+x,t_{maks}\\\\right)\"\n            },\n            {\n        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\"color\": \"#6042a6\",\n                \"latex\": \"v_{0x}=5.25\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"11\",\n                \"folderId\": \"207\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"v_{0y}=28\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"213\",\n                \"folderId\": \"207\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\theta_{0}=\\\\arctan\\\\left(\\\\frac{v_{0y}}{v_{0x}}\\\\right)\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"214\",\n                \"folderId\": \"207\",\n                \"color\": \"#c74440\",\n                \"latex\": \"v_{0}=\\\\sqrt{v_{0x}^{2}+v_{0y}^{2}}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"216\",\n                \"folderId\": \"207\",\n                \"color\": \"#c74440\",\n                \"latex\": \"a=v_{0x}\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"217\",\n                \"folderId\": \"207\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"b=v_{0y}\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"154\",\n                \"folderId\": \"207\",\n                \"text\": \"Peluncuran:\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"156\",\n                \"folderId\": \"207\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"K_{lik}=0\",\n                \"slider\": {\n                    \"hardMin\": true,\n                    \"hardMax\": true,\n                    \"min\": \"0\",\n                    \"max\": \"1\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n 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\"type\": \"folder\",\n                \"id\": \"18\",\n                \"title\": \"Latar dan gambar\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"50\",\n                \"folderId\": \"18\",\n                \"text\": \"Langit\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"51\",\n                \"folderId\": \"18\",\n                \"color\": \"#000000\",\n                \"latex\": \"L=\\\\left[0.5,1...70.5\\\\right]\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"60\",\n                \"folderId\": \"18\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"\\\\operatorname{polygon}\\\\left(\\\\left(-20,L-0.5\\\\right),\\\\left(80,L-0.5\\\\right),\\\\left(80,L+0.5\\\\right),\\\\left(-20,L+0.5\\\\right)\\\\right)\",\n                \"lines\": false,\n                \"colorLatex\": \"l_{angit}\",\n                \"fillOpacity\": \"1\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"77\",\n                \"folderId\": \"18\",\n                \"text\": \"Gunung\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"81\",\n                \"folderId\": \"18\",\n                \"color\": \"#388c46\",\n                \"latex\": \"f\\\\left(x\\\\right)=\\\\frac{1}{s_{igma}\\\\sqrt{2\\\\pi}}e^{-\\\\frac{1}{2}\\\\left(\\\\frac{x-m_{u}}{s_{igma}}\\\\right)^{2}}\",\n                \"hidden\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"79\",\n                \"folderId\": \"18\",\n                \"color\": \"#c74440\",\n                \"latex\": \"m_{u}=50\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"80\",\n                \"folderId\": \"18\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"s_{igma}=15\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"82\",\n                \"folderId\": \"18\",\n                \"color\": \"#2d70b3\",\n                \"latex\": \"0\\\\le y\\\\le250f\\\\left(x\\\\right)\",\n                \"lines\": false,\n                \"colorLatex\": \"l_{angit3}\",\n                \"fillOpacity\": \"1\"\n            },\n            {\n                \"type\": \"text\",\n                \"id\": \"48\",\n                \"folderId\": \"18\",\n                \"text\": \"Tanah\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"19\",\n                \"folderId\": \"18\",\n                \"color\": \"#000000\",\n                \"latex\": \"y\\\\le0\",\n                \"lines\": false,\n                \"colorLatex\": \"t_{anah}\",\n                \"fillOpacity\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"45\",\n                \"folderId\": \"18\",\n                \"color\": \"#c74440\",\n                \"latex\": \"y=0\",\n                \"colorLatex\": \"t_{anah2}\",\n                \"lineOpacity\": \"1\",\n                \"lineWidth\": \"5\"\n            },\n            {\n                \"type\": \"folder\",\n                \"id\": \"120\",\n                \"title\": \"Target\",\n                \"collapsed\": true,\n                \"secret\": true\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"131\",\n                \"folderId\": \"120\",\n                \"color\": \"#388c46\",\n                \"latex\": \"x=0\\\\left\\\\{0\\\\le y\\\\le T_{y}\\\\right\\\\}\",\n                \"lineStyle\": \"DASHED\",\n                \"colorLatex\": \"p_{utih}\",\n                \"lineOpacity\": \"1\",\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"132\",\n                \"folderId\": \"120\",\n                \"color\": \"#6042a6\",\n                \"latex\": \"y=T_{y}\\\\left\\\\{0\\\\le x\\\\le T_{x}\\\\right\\\\}\",\n                \"lineStyle\": \"DASHED\",\n                \"colorLatex\": \"p_{utih}\",\n                \"lineOpacity\": \"1\",\n                \"lineWidth\": \"1\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"134\",\n                \"folderId\": \"120\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\frac{T_{x}}{2},T_{y}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"${T_x} m\",\n                \"hidden\": true,\n                \"labelSize\": \"0.8\"\n            },\n            {\n                \"type\": 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\"clickableInfo\": {\n                    \"enabled\": true,\n                    \"latex\": \"K_{lik}\\\\to0,n_{klik}\\\\to0,s_{top},l_{agi}\"\n                }\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"254\",\n                \"folderId\": \"219\",\n                \"color\": \"#000000\",\n                \"latex\": \"\\\\left(\\\\frac{73+54}{2},\\\\frac{68+62}{2}\\\\left\\\\{I=1\\\\right\\\\}\\\\left\\\\{t_{0}\\\\ge\\\\max\\\\left(8,t_{x}\\\\right)\\\\right\\\\}\\\\right)\",\n                \"showLabel\": true,\n                \"label\": \"Play again\",\n                \"hidden\": true,\n                \"labelSize\": \".9\",\n                \"pointOpacity\": \".8\"\n            },\n            {\n                \"type\": \"expression\",\n                \"id\": \"256\",\n                \"color\": \"#c74440\"\n            }\n        ],\n        \"ticker\": {\n            \"handlerLatex\": \"\\\\left\\\\{K_{lik}=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  calculator1.setState(state1);\n  calculator2.setState(state2);\n\n  \/\/ Source\n  var v0xHelper = calculator1.HelperExpression({ latex: 'v_{0x}' });\n  var v0yHelper = calculator1.HelperExpression({ latex: 'v_{0y}' });\n  var t0Helper = calculator2.HelperExpression({ latex: 't_{0}' });\n\n  \/\/ Sink\n  v0xHelper.observe('numericValue', function() {\n    var value = v0xHelper.numericValue;\n    if (!isNaN(value)) {\n      calculator2.setExpression({ id: '13', latex: `v_{0x}=${value}` });\n    }\n  });\n  v0yHelper.observe('numericValue', function() {\n    var value = v0yHelper.numericValue;\n    if (!isNaN(value)) {\n      calculator2.setExpression({ id: '11', latex: `v_{0y}=${value}` });\n    }\n  });\n  t0Helper.observe('numericValue', function() {\n    var value = t0Helper.numericValue;\n    if (!isNaN(value)) {\n      calculator1.setExpression({ id: '80', latex: `t_{0}=${value}` });\n    }\n  });\n\n<\/script>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p>Use the instructions and questions below as a guide while playing the game:<\/p>\n\n\n\n<ol><li>What do the red and blue graphs represent? What do they mean?<\/li><li>Adjust the two graphs by dragging the red or blue points so the ball can hit the target when launched.<\/li><li>Click \"Launch\" and see if the ball accurately hits the target.<\/li><li>Repeat steps 2 and 3 until you hit the target!<\/li><\/ol>\n\n\n\n<p>Have fun!<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\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>Explore related topics<\/h3>\n  <p>Discover more contents with related topics in this website.<\/p>\n  <ul class=\"topics-list\">\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Problem+Solving\">Problem Solving<\/a><\/li>    \n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Mathematics\">Mathematics<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Algebra\">Algebra<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Physics\">Physics<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Graph\">Graph<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Projectile+Motion\">Projectile Motion<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Two+Dimensional+Motion\">Two Dimensional Motion<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Game-Based+Learning\">Game-Based Learning<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Interactive+Learning+Resource\">Interactive Learning Resource<\/a><\/li>\n  <\/ul>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>An interactive simulation for investigating projectile motion. Launch parameters and corresponding distance-time and height-time graphs are adjusted to achieve accurate targeting.<\/p>\n","protected":false},"author":1,"featured_media":1132,"parent":1140,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"advanced_seo_description":"","spay_email":""},"jetpack_shortlink":"https:\/\/wp.me\/P93lma-if","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1131"}],"collection":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/comments?post=1131"}],"version-history":[{"count":9,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1131\/revisions"}],"predecessor-version":[{"id":1359,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1131\/revisions\/1359"}],"up":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1140"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/media\/1132"}],"wp:attachment":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/media?parent=1131"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}