A skydiver is equipped with a stopwatch and an altimeter. As shown in Figure 3.2.7, he
Chapter 3, Problem 26(choose chapter or problem)
A skydiver is equipped with a stopwatch and an altimeter. As shown in Figure 3.2.7, he opens his parachute 25 seconds 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 proportional to 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. [Hint: The constant of proportionality k in the model given in is not specified. Use the expression for terminal velocity vt obtained in part (b) of to eliminate k from the IVP. Then eventually solve for vt.] (b) How far does the skydiver fall and what is his velocity at t 15 s?
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