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Newton's second law of motion states that the acceleration of an object is directly proportional to the size of the force producing the acceleration and inversely proportional to the mass of the body.
This means that the amount of force acting on a body and the size of that body affects that body's acceleration.
For example, if a large person pushes a small person with a lot of force, then the small person's acceleration will be high. If the large person pushes the small person then the acceleration won't be that high. Also, if the large person pushes an equally large person with a lot of force then the person's acceleration will not be great.
So you see that the amount of a force acting on an object and the object's mass affects its acceleration.
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