On February 6, 1971, Alan Shepard made history by becoming the first astronaut to play golf on the Moon. Using only one hand to swing the club because of his bulky space suit, Shepard still managed a long drive. Given the lack of an atmosphere on the moon and a gravitational acceleration of 1.6 m/s2, how far would the shot go with an initial velocity of 25 m/s and a launch angle of 35∘?

A. 367 m

B. 375 m

C. 382 m

D. 391 m

Projectile motion is a motion in which an object moves in a parabolic path due to the action of gravity on it. Projectile motion only occurs when there is one force which is applied at the beginning, after that the only interference is from gravity. e.g the path of a golf ball after hit by a golfer.

Range of the projectile can be defined as the horizontal distance given by the ball. We need to find Range in this question.

The Range of a projectile is given by:

[tex]R = \frac{v^2\cdot{sin2}\theta}{g}[/tex]

where

v = initial velocity = 25 m/s

θ = 35°

g = 1.6 m/s²

Substitute the values in formula of R:

[tex]R= \frac{(25)^2\cdot{sin(2\cdot35)}}{1.6}\\R= \frac{(625)\cdot{sin(70)}}{1.6}\\R=367m[/tex]