Vertical leaps When a particular basketball player leaps straight up for a dunk, the playe...

Vertical leaps When a particular basketball player leaps straight up for a dunk, the player’s distance f(t)(in feet) off the floor after t seconds is given by the formula f(t)= , where g is a gravitational constant.

(a) If g =32, find the player’s hang time—that is, the total number of seconds that the player is in the air.

(b) Find the player’s vertical leap—that is, the maximum distance of the player’s feet from the floor.

(c) On the moon, . Rework parts (a) and (b) for the player on the moon.