Is Object Acceleration Affected on a Frictionless Tabletop? | Expert Insights

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Neek 007
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Obviously the question isn't easy to me, but anyway onwards with the question.

Can I assume an object has no acceleration if it is pushed on a frictionless tabletop?

This isn't a homework problem, its just going to help me solve my homework problem.
 
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oops i meant constant acceleration instead of no acceleration, sorry.