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ClassicalMechanicsPrograms/throwingABall.html

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This work is licensed under CC BY-NC-ND 4.0
Link to license: http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribute to Russell Georgi
-->
<html>
<head>
<title>
Throwing a Ball
</title>
<style>
html, body {
width: 100%;
height: 100%;
margin: 0px;
border: 0;
overflow: hidden;
display: block;
}
canvas {
position: absolute;
}
.greenSlider {
-webkit-appearance: none;
border-radius: 5px;
height: 10px;
background: #d3d3d3;
outline: none;
opacity: 0.7;
-webkit-transition: .2s;
transition: opacity .2s;
}
.greenSlider::-webkit-slider-thumb {
-webkit-appearance: none;
appearance: none;
background: #000000;
border-radius: 50%;
width: 15px;
height: 15px;
cursor: pointer;
}
.greenSlider::-moz-range-thumb {
background: #000000;
border-radius: 50%;
width: 15px;
height: 15px;
cursor: pointer;
}
</style>
</head>
<body>
<canvas id="myCanvas" width="1" height="1" style="border:1px solid #ffffff;">
Your browser does not support the HTML5 canvas tag.</canvas>
<div class="slidecontainer">
<t>Beta</t>
<input type="range" min="-1.57" max="1.57" value="0" step="0.01" class="greenSlider" id="wRSlider">
</div>
<script>
var c = document.getElementById("myCanvas");
var ctx = c.getContext("2d");
c.width = window.innerWidth;
c.height = window.innerHeight;
//Time step
var dt = 0.01;
var t = 0;
var beta = 0;
var g = 98;
var v0 = 100;
var thetaStep = Math.PI / 20;
var maxTheta = (Math.PI / 2 + beta) / 2;
var xPos = 0;
var yPos = 0;
//Moves and scales canvas
ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2)
ctx.scale(2, -2);
Reset();
wRSlider.oninput = function()
{
beta = parseFloat(this.value);
maxTheta = (Math.PI / 2 + beta) / 2;
Reset();
}
function Clear(ctx)
{
ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
}
function Update()
{
//Clear(ctx);
Draw();
t += dt;
setTimeout(Update, 1);
}
function Reset()
{
Clear(ctx);
t = 0;
ctx.strokeStyle = "#000000";
ctx.lineWidth = 1;
ctx.beginPath();
ctx.moveTo(-c.width, -c.width * Math.tan(beta));
ctx.lineTo(c.width, c.width * Math.tan(beta));
ctx.stroke();
}
function Draw()
{
for (i = 0; i < Math.PI / 2; i += thetaStep)
{
if (v0 * Math.sin(i) * t - g * (t ** 2) / 2 >= v0 * Math.cos(i) * t * Math.tan(beta))
{
ctx.strokeStyle = "#000000";
ctx.lineWidth = 1;
ctx.beginPath();
ctx.moveTo(xPos + v0 * Math.cos(i) * t, yPos + v0 * Math.sin(i) * t - g * (t ** 2) / 2);
ctx.lineTo(xPos + v0 * Math.cos(i) * (t+dt), yPos + v0 * Math.sin(i) * (dt + t) - g * ((t + dt) ** 2) / 2);
ctx.stroke();
}
}
if (v0 * Math.sin(maxTheta) * t - g * (t ** 2) / 2 >= v0 * Math.cos(maxTheta) * t * Math.tan(beta))
{
ctx.strokeStyle = "#ee0000";
ctx.lineWidth = 2;
ctx.beginPath();
ctx.moveTo(xPos + v0 * Math.cos(maxTheta) * t, yPos + v0 * Math.sin(maxTheta) * t - g * (t ** 2) / 2);
ctx.lineTo(xPos + v0 * Math.cos(maxTheta) * (t+dt), yPos + v0 * Math.sin(maxTheta) * (dt + t) - g * ((t + dt) ** 2) / 2);
ctx.stroke();
}
}
window.addEventListener('resize', function(event) {
c.width = window.innerWidth;
c.height = window.innerHeight;
ctx.translate(c.width / 2, c.height / 2);
ctx.scale(2, -2);
}, true);
Update();
</script>
</body>
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This work is licensed under
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</html>