Move a Sprite at a certain speed in a specific angular direction


You can use some basic trigonometric functions to convert this angle and speed to component x and y velocities. First, you need to make sure the angle is in radians. If the angle is in degrees, convert it by using the following formula:
radians = degrees * Math.PI / 180;
If you ever need to convert the opposite way, use:
degrees = radians * 180 / Math.PI;
Once you have the angle in radians, use the Math.sin and Math.cos functions, along with the speed, to find the x and y velocities, using the following formulas:
vx = Math.cos(angle) * speed; vy = Math.sin(angle) * speed;
Here is an example using 135 degrees and a speed of 4 pixels per frame: 
package {
    import flash.display.Sprite;
    import flash.events.Event;
    import flash.events.TimerEvent;
    import flash.utils.Timer;
    
    public class AngularVelocity extends Sprite {
        private var _sprite:Sprite;
        private var _angle:Number = 135;
        private var _speed:Number = 4;
        private var _timer:Timer;
        
        public function AngularVelocity (  ) {
            _sprite = new Sprite(  );
            _sprite.graphics.beginFill(0x0000ff, 100);
            _sprite.graphics.drawCircle(0, 0, 25);
            _sprite.graphics.endFill(  );
            _sprite.x = 200;
            _sprite.y = 100;
            addChild(_sprite);
            _timer = new Timer(30);
            _timer.addEventListener("timer", onTimer);
            _timer.start(  );
        }
        
        public function onTimer(event:TimerEvent):void {
            var radians:Number = _angle * Math.PI / 180;
            var vx:Number = Math.cos(radians) * _speed;
            var vy:Number = Math.sin(radians) * _speed;
            _sprite.x += vx;
            _sprite.y += vy;
        }
    }    
}

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