?Height and time The height of a baseball hit straight up with an initial velocity of 64
Chapter 6, Problem 34(choose chapter or problem)
Height and time The height of a baseball hit straight up with an initial velocity of 64 ft/s is given by \(h=f(t)=64 t-16 t^{2}\), where t is measured in seconds after the hit.
a. Is this function one-to-one on the interval \(0 \leq t \leq 4\)?
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?
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