Their acceleration will be the same.
According to Newton's second law of motion, \( F = ma \) (force equals mass times acceleration). If two objects have the same mass and the same force is applied to both, then their accelerations will also be the same, as they can be expressed as \( a = \frac{F}{m} \). Since \( F \) and \( m \) are the same for both objects, their accelerations must also be the same.