On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a golf club improvised from a tool. The free-fall acceleration on the moon is \(1 / 6\) of its value on earth. Suppose he hit the ball with a speed of \(25 \mathrm{~m} / \mathrm{s}\) at an angle \(30^{\circ}\) above the horizontal.

a. How long was the ball in flight?

b. How far did it travel?

c. Ignoring air resistance, how much farther would it travel on the moon than on earth?