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Question: 

A ball of mass 0.440 kg moving east (+x direction) with a speed of 3.80 m/s collides head-on with a 0.220-kg ball at rest. If the collision is perfectly elastic, what will be the speed and direction of each ball after the collision?

Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014. Reprinted by permission of Pearson Education Inc., New York.
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Quick Answer: 

$v_A' = 1.27\textrm{ m/s, } v_B' = 5.07\textrm{ m/s}$

Giancoli 7th Edition, Chapter 7, Problem 25

(5:41)