Question: Refer to Exercise 95, which gives the position function for a falling body. Use m = 75 kg and k = 0.2. a. Confirm that
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 
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 by
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.
|kg |mg tanh v(t) = d'(t) = kg d(t) In ( cosh k
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