a. Find the acceleration a(t) = v'(t) of a falling body whose velocity is given in part (a) of Exercise 96.

b. ComputeExplain your answer as it relates to terminal velocity (Exercise 97).

Data from Exercise 96

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 bywhere 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.

Transcribed Image Text:

lim a(t). v(t) = d'(t) = |mg tanh |kg т