A skydiver is equipped with a stopwatch and an altimeter. As shown in the following figure, he opens his parachute 25seconds after exiting a plane flying at an altitude of 20,000 feet and observes that his altitude is 14,800 feet. Assume that air resistance is proportionalto the square of the instantaneous velocity, his initial velocity on leaving the plane is zero, and g = 32 ft/s².

(a) Find the distance s(t), measured from the plane,the skydiver has traveled during freefall in time t.

(b) How far does the skydiver fall and what is his velocity at t = 15 s?

Transcribed Image Text:

s(t) (14,800 ft 25 s