Two objects with different masses are launched vertically into the air by placing them on identical compressed springs and then releasing the springs. The two springs are compressed by the same amount before launching. Ignore air resistance and the masses of the springs. Which of these statements about the masses are true? Justify each answer.

(a) Both reach the same maximum height.

(b) At their maximum height, both have the same gravitational potential energy, if the initial gravitational potential of each mass is taken to be zero.