The height in feet of a baseball hit straight up from the ground with an initial velocity of 64 ft/s is given by h = f(t) = 64t - 16t², where t is measured in seconds after the hit.

a. Is this function one-to-one on the interval 0 ≤ t ≤ 4?

b. Find the inverse function that gives the time t at which the ball is at height h as the ball travels upward. Express your answer in the form t = f^-1(h).

c. Find the inverse function that gives the time t at which the ball is at height h as the ball travels downward. Express your answer in the form t = f^-1(h).

d. At what time is the ball at a height of 30 ft on the way up?

e. At what time is the ball at a height of 10 ft on the way down?