Which box ends up moving faster

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Box 1, which is hit by the ball that bounces back, will move slower than box 2, which gets stuck to the ball. The momentum transfer is greater in the case of box 2 since the ball and box move together after the collision. A mathematical demonstration of momentum conservation is necessary to confirm this conclusion. The discussion emphasizes the importance of analyzing the collision types to determine the final velocities. Ultimately, box 2 ends up moving faster due to the nature of inelastic collisions.
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Homework Statement



Two balls of equal mass are thrown horizontally with the same initial velocity. They hit identical stationary boxes resting on a frictionless horizontal surface. The ball hitting box 1 bounces back,while the ball hitting box 2 gets stuck. Which box ends up moving faster



The Attempt at a Solution



I would think that box 2 ends up moving faster. Is this correct
Thanks
 
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Why do you think that? I would think you would need to show it mathematically. Have you done that?
 
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