On the Apollo $14$ mission, astronaut Alan Shepard hit a golf ball with an improvised golf

club. Suppose he hit the ball with a speed of $25\frac{m}{s}$ at an angle $30$ above the horizontal.

The gravitational acceleration on the moon is $\frac{1}{6}$ of its value on Earth's surface $($i$.$e$.,\frac{1}{6}g).$

Suppose that the ball was hit at the edge of a large crater, whose floor was $9\mathrm{.}0m$ below the

elevation where the wall was hit.

a$)$ If the Sun is directly overhead, how fast would the golf ball's shadow move across the

ground?

b$)$ How far did the ball travel?

c$)$ How far would it have traveled on Earth, assuming that air resistance could be ignored?