Math question

[colfaxrev]

this is for physics in a game.

I am using box 2d engine so the physics is already handled.

please look at my attachment pic, it explains it quite simply

basically i need to split x velocity into x and y velocity when trying to walk up a slope, and for some reason i can't figure out the right formula

any help would be greatly appreciated!

[ASWC]

Reduce the gravity or reduce the friction on both or apply a friction joint.

[colfaxrev]

reducing gravity isn't an option because the feeling of how jumps works depends on that, the friction must stay cause some blocks need to be icy and slick and others need to ahve more friction

im close to the solution though

if i have an x velocity of 10 and the hill is at a -45 degree angle then x velocity should be 5 and y velocity should be -5

if it were a 90 degree angle (a wall) it would be x velocity 0 and y velocity -10

obviously i won't make walls do that but thats the ratio

so its a ratio, just trying to figure out how to spell it out in a formula

[santanoa]

isn't it

vx = vcos(theta)
vy = vsin(theta)

where vx is your x velocity, vy is your y velocity and v is your absolute velocity or velocity you want to distribute over x and y. theta is your angle.

That's what I learned in Physics class

[colfaxrev]

thanks for that answer! I think that looks about right although i did just get this to work

private function _onMouseWheel(event:MouseEvent):void
{
	_floorSprite.rotation += event.delta;
	
	var radians:Number = deg2rad(_floorSprite.rotation);
	var radians90DegreeAngle:Number = deg2rad(90);
	
	var xVel:Number = 10;
	var yVel:Number = 0;
	
	trace('-----------------------');
	trace('_floorSprite.rotation[' + _floorSprite.rotation + '] radians[' + radians + ']');
	trace('b xVel[' + xVel + ']');
	trace('b yVel[' + yVel + ']');
	
	trace('transform to XY velocity');
	
	//var angleRatio:Number = -_floorSprite.rotation / 90;
	var angleRatio:Number = -radians / radians90DegreeAngle;
	
	trace('angleRatio[' + angleRatio + ']');
	
	if (angleRatio >= 0)
	{
		//trace('uphill');
		yVel = -((xVel * angleRatio));
		xVel = xVel + yVel;
	}
	else if (angleRatio < 0)
	{
		//trace('downhill');
		yVel = -((xVel * angleRatio));
		xVel = xVel - yVel;
	}
	
	trace('a xVel[' + xVel + ']');
	trace('a yVel[' + yVel + ']');
}

[colfaxrev]

Originally Posted by santanoa

isn't it

vx = vcos(theta)
vy = vsin(theta)

where vx is your x velocity, vy is your y velocity and v is your absolute velocity or velocity you want to distribute over x and y. theta is your angle.

That's what I learned in Physics class

that seems close but it wasn't giving me the right values im sure if that formula was correct it would run a lot faster than mine though

[colfaxrev]

private function _onMouseWheel(event:MouseEvent):void
{
	_floorSprite.rotation += event.delta;
	
	var velocity:Number = 10;
	var theta:Number = -deg2rad(_floorSprite.rotation);
	var vx:Number = velocity * Math.cos(theta);
	var vy:Number = velocity * Math.sin(theta);
	
	trace('vx[' + vx + ']');
	trace('vy[' + vy + ']');
}

these numbers aren't quite right, do i have that right?

[santanoa]

It seems like there might be a problem if you go through multiple 'hills' or angle changes because your yVel is dependent on your xVel and your xVel is dependent on your yVel.

Also, for a 45 degree angle you'd want both xVel and yVel to be the same, right? For your method:

If you first change to a 45 degree angle
angleRation = 0.5
xVel = 15
yVel = 5

While:

xVel = vcos(theta) ==> 7.07 = (10)cos(45)
yVel = vsin(theat) ==> 7.07 = (10)sin(45)


Hope that makes sense.

Good Luck

[santanoa]

Sorry, I didn't see your response...

It looks good to me. What's wrong?

[ASWC]

A friction joint applies friction to the object you register with it. All other object would keep their normal friction while the object(s) registered with the joint will get your special friction. Once out of the hill you just remove them from the joint and they'll go back to their normal friction values.