Refer to Exercise 95, which gives the position function for a falling body. Use m = 75

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Refer to Exercise 95, which gives the position function for a falling body. Use m = 75 kg and k = 0.2. 

a. Confirm that the base jumper’s velocity t seconds after jumping is |kg |mg tanh v(t) = d'(t) = т

b. How fast is the BASE jumper falling at the end of a 10 s delay?

c. How long does it take the BASE jumper to reach a speed of 45 m/s (roughly 100 mi/hr)?

Data from Exercise 95

When an object falling from rest encounters air resistance proportional to the square of its velocity, the distance it falls (in meters) after t seconds is given bykg d(t) т In ( cosh k т where m is the mass of the object in kilograms, g = 9.8 m/s2 is the acceleration due to gravity, and k is a physical constant.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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