Using angles of 2 balls at time of collision for new directions

[Jordiston]

If i have 2 circular objects like coins and their moving on a frictionless surface and i know their velocity angles mass, how can i find the angle of each object after they collide, an example

A is the first coin, B the second their masses are the same. X will be the x of a vector and Y the y part. if A's velocity vector was (4X, 0Y)
and B's is (-2X, 0Y) i know they would of course after a head on collision bounce back and continue to move across the X axis, and also swap speeds, so in this case i believe they would just swap velocity vectors.

but of course theirs many different angles and such they could collide and rarely would it be head on. and I am not sure how i would find the angle in any of those cases.

 

[LightHero]

I believe the best way to find the angle of each object after they collide would be to use the conservation of momentum equation. This equation states that the total momentum of the system is conserved before and after the collision. This means that the momentum of each object after the collision can be calculated using the initial momentums of each object. To calculate the angle of each object after the collision, you can use the velocity vector components and the mass of each object to calculate the x and y components of the momentum of the objects before and after the collision. Then you can use the ratio of the x and y components of the momentum of each object to calculate the angle of the respective velocity vector.