Chapter 10.7, Problem 56AE

Projectile Motion Suppose that Karla hits a golf ball off a cliff 300 meters high with an initial speed of 40 meters per second at an angle of ${45}^{\circ }$ to the horizontal on the Moon (gravity on the Moon is one-sixth of that on Earth).

a. Find parametric equations that model the position of the ball as a function of time.

b. How long is the ball in the air?

c. Determine the horizontal distance that the ball travels.

d. When is the ball at its maximum height? Determine the maximum height of the ball.

e. Using a graphing utility, simultaneously graph the equations found in part (a).