Chapter 7.3, Problem 108AE

Projectile Motion A golfer hits a golf ball with an initial velocity of 100 miles per hour. The range $R$ of the ball as a function of the angle $\theta$ to the horizontal is given by $R\left(\theta \right)=672\sin \left(2\theta \right)$, where $R$ is measured in feet.

a. At what angle $\theta$ should the ball be hit if the golfer wants the ball to travel 450 feet (150 yards)?

b. At what angle $\theta$ should the ball be hit if the golfer wants the ball to travel 540 feet (180 yards)?

c. At what angle $\theta$ should the ball be hit if the golfer wants the ball to travel at least 480 feet (160 yards)?

d. Can the golfer hit the ball 720 feet (240 yards)?