Projectile Motion on the Moon problem!

Question

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 35 m/s at an angle 28 ∘ above the horizontal.

a) How far did it travel?

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

Any help would be appreciated. Thanks!

Answer 1

Work with the range relation:

R = v₀² sin(2θ) / g

On the moon, use g/6 instead of g. On the earth, use g. You already know v₀ and θ. Just plug in the numbers and get your answers.