Solving Motion Equations for 2D Elastic Collisions

AI Thread Summary
To solve 2D elastic collision equations for balls, it's crucial to apply the principles of conservation of momentum and energy. The new speeds and angles after collision can be derived using these conservation laws, with one free parameter being the angle of deflection. The lack of friction or rotation simplifies the calculations, allowing for ideal conditions. A common approach involves using vector components to analyze the velocities before and after the collision. Understanding these fundamental concepts will help in accurately simulating the collision dynamics.
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Hi, I'm trying to make a 2d simulation of elastic colliding balls. I have a hard time deriving the motion equations after collision. For each ball i know the speed, the mass and the angle of movement. Can anyone point me in the right direction to find the general equations for this ? I need the new speed after collision and the new angles which the balls will use as direction. I tried some energy and impulse conservation but i didn't came up with something concrete.
Btw: i don't have friction, rotation or things like this. everything is ideal.
 
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Given conservation of energy and momentum, you will have one free parameter, namely the angle after collision.
 

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