(Ill) The force of air resistance (drag force) on a

Chapter 5, Problem 5.102

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(Ill) The force of air resistance (drag force) on a rapidlyfalling body such as a skydiver has the form FD = kv2, sothat Newtons second law applied to such an object ism dv = mg ki v2,dtwhere the downward direction is taken to be positive.(a) Use numerical integration [Section 2-9] to estimate(within 2%) the position, speed, and acceleraton, from t = 0up to t = 15.0 s, for a 75-kg skydiver who starts from rest,assuming k = 0.22 kg/m. (ft) Show that the diver eventuallyreaches a steady speed, the terminal speed, and explain whythis happens, (c) How long does it take for the skydiver toreach 99.5% of the terminal speed?.