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 jumpers 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 (r...

kg ng 1 a d t 1 onbVIETsinh V vivs tanh vi d m ...

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

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 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 by kg 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.