# How is acceleration related to force?

Force is directly proportional to acceleration.

This is brought around from the derivation formula of Newton's Second Law of Motion which states; F=ma. Here, ' F ' is the resultant force, ' m ' is the mass of the object in motion and ' a ' is its acceleration in the direction of the resultant force.

For example, imagine applying a 500 N resultant force to a small car, and applying a 1000 N resultant force on another small car of the same mass . Which one will move faster?

Obviously, the one where a larger force is applied. (Keep in mind that mass is constant. Because mass is inversely proportional to acceleration.)

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Acceleration is directly proportional to force and inversely proportional to the mass of an object, as described by Newton's second law: ( F = m \cdot a ).

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