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Remember Newton's First Law - Unless acted on by a force, bodies at rest will stay at rest and bodies in motion will stay in motion. To be able to observe acceleration, first a force has to act on the object. So, the question should be reversed - "Will the force on an object affect the acceleration?"

Answer - YES.

How will it be affected? Refer to Newton's Second Law for that.

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What variables affect the acceleration of an object and in what manner do they affect the acceleration?

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