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Momentum is always conserved. Newton's first law.

so

m1v1 + m2v2 = m1v3 + m2v4

to solve for this equation you are going to have to know more than just the mass and initial velocity of m1. There are six unknowns here. Apparently we know m1 and v3 from what you have said. We are going to have to know the value of three more before we can solve.

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Q: How do you find velocity of a ball given mass of one ball and velocity of that same ball after they collide and rebound in opposite directions?
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