Acceleration is defined as force on direction:
Here's formula:
let force = 10, angle = 45, //degrees. Need to convert! ax = Math.cos(angle * Math.PI / 180) * force, ay = Math.sin(angle * Math.PI / 180) * force;
<!doctype html> <html> <head> <style> canvas {//from ww w.j ava 2 s. c o m border: 1px solid red; } </style> </head> <body> <canvas id="canvas" width="400" height="400"></canvas> <script> class Arrow { constructor() { this.x = 0; this.y = 0; this.color = "#ffff00"; this.rotation = 0; } draw(context) { context.save(); context.translate(this.x, this.y); context.rotate(this.rotation); context.lineWidth = 2; context.fillStyle = this.color; context.beginPath(); context.moveTo(30, 0); context.lineTo(-20, -25); context.moveTo(30, 0); context.lineTo(-20, 25); context.closePath(); context.fill(); context.stroke(); context.restore(); } } function captureMouse(element) { let mouse = { x: 0, y: 0, event: null }, body_scrollLeft = document.body.scrollLeft, element_scrollLeft = document.documentElement.scrollLeft, body_scrollTop = document.body.scrollTop, element_scrollTop = document.documentElement.scrollTop, offsetLeft = element.offsetLeft, offsetTop = element.offsetTop; element.addEventListener('mousemove', function(event) { let x, y; if (event.pageX || event.pageY) { x = event.pageX; y = event.pageY; } else { x = event.clientX + body_scrollLeft + element_scrollLeft; y = event.clientY + body_scrollTop + element_scrollTop; } x -= offsetLeft; y -= offsetTop; mouse.x = x; mouse.y = y; mouse.event = event; }, false); return mouse; } window.onload = function() { let canvas = document.getElementById('canvas'), context = canvas.getContext('2d'), mouse = captureMouse(canvas), arrow = new Arrow(), vx = 0, vy = 0, force = 0.05; (function drawFrame() { window.requestAnimationFrame(drawFrame, canvas); context.clearRect(0, 0, canvas.width, canvas.height); let dx = mouse.x - arrow.x, dy = mouse.y - arrow.y, angle = Math.atan2(dy, dx), //radians ax = Math.cos(angle) * force, ay = Math.sin(angle) * force; arrow.rotation = angle; vx += ax; vy += ay; arrow.x += vx; arrow.y += vy; arrow.draw(context); }()); }; </script> </body> </html>