Height and time 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 1 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 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 an swer in the form t f 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