If two objects with the same mass have the same force applied to them, their acceleration will be the same.
According to Newton's second law of motion, \( F = ma \) (force equals mass times acceleration), if the force \( F \) is constant and the mass \( m \) is the same for both objects, then the acceleration \( a \) must also be the same for both.
So the correct response is:
Their acceleration will be the same.