Why is assumption in the law of conservation of linear momentum that acceleration will be same or similar valid regardless of the type of object?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
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Why is assumption in the law of conservation of linear momentum that acceleration will be same or similar valid regardless of the type of object?

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Conservation of linear momentum: according to this law total momentum of an isolated system remains unchanged or conserved.

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