head-on collision

K^2

You can get this answer without doing any math at all. Go to coordinate system where the bat isn't moving. The ball approaches it with 2v. Because bat is very massive, it's like hitting a solid wall, so the ball bounces off with -2v. But that's relative to the bat that's moving at -v in problem's coordinate system. That gives you -3v final velocity.

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K^2 Recognitions: Science Advisor	head-on collision You can get this answer without doing any math at all. Go to coordinate system where the bat isn't moving. The ball approaches it with 2v. Because bat is very massive, it's like hitting a solid wall, so the ball bounces off with -2v. But that's relative to the bat that's moving at -v in problem's coordinate system. That gives you -3v final velocity.