How Do Speed and Direction Change for Two Colliding Pool Balls?

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    2d Ball Collision
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kapil1089thek
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I have two balls with d1 and d2 as their direction, and I have the speed s1 and s2, d1 and d2 are in radians showing the angle made with positive direction of x-axis and in anticlockwise direction i.e 0<=d1 and d2<2*pi
their positions are (x1,y1) and (x2,y2) when they collided

after collosion
what would be their speed, and direction?
 

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shouldn't their positions be the same when they collide?

basically you want to split the problem up into two problems: momentum is conserved in both the x and y directions, independently. also it looks like you're assuming completely elastic collisions.
 
Sorry--you will need to use conservation of energy, too.
this plus both equations for conservations of momentum should be enough to solve the problem.