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Here is the problem. I have two balls of equal size and mass in a frictionless, 2D environment. These balls have known velocities (x,y), radii and mass. The balls collide at a given point. An angle can be determined by drawing a line between the centers of each ball, and determining the angle of that line with respect to the x-axis. Knowing all of these, how can i now go about determining the velocities after the collision? and thus, the angle of deflection?

I'm looking for something like:

Ball1 Vx, Vy After collision

Ball2 Vx, Vy After collision.

Thanks in advance.

-benny