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I have a technical question about the objects in elastic collision. Say object 1 has a slightly greater mass than object 2, and object 2

I have a technical question about the objects in elastic collision. Say object 1 has a slightly greater mass than object 2, and object 2 is sitting still. If object 1 hits object 2 and I determine the final velocities for both objects, will the final velocity for object 2 be just for the moment after the collision, or will it remain constant with no acceleration unless acted on? For context I am looking to find the change in velocity (if any) between the point immediately after the collision and another point down the objects path.

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