Find the distance which an object moves in time t if it starts from rest and has an

Chapter 8, Problem 4

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Find the distance which an object moves in time t if it starts from rest and has an acceleration d2x/dt2 = gekt. Show that for small t the result is approximately (1.10), and for very large t, the speed dx/dt is approximately constant. The constant is called the terminal speed. (This problem corresponds roughly to the motion of a parachutist.)

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