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Yes. You could have two objects with the same final velocity (momentum, if they have mass), but having each one accelerated differently.

Imagine object A starts from 5 m/s, and is accelerated over 1 second with acceleration of 20 m/s2 to attain a final velocity of 25 m/s.

Now, imagine object B starts from 15 m/s, and gets an acceleration over 1 second of 10 m/s2 to attain the final velocity of 25 m/s.

Both end up with the same velocity, but had different accelerations.

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