Chapter 4.3, Problem 37E

Velocity and Acceleration The velocity of the parachutist during free fall is

$f\left(t\right)=60\left(1-e^{-0.17t}\right)$ meters per second. Answer the following questions by reading the graph Fig, 2 (Recall that acceleration is the derivative of velocity.)

a. What is the velocity when $t=8$ seconds ?

b. What is the acceleration when $t=0$?

c. When is the parachutist velocity $30\text{m/sec}$?

d. When is the acceleration $5{\text{m/sec}}^2$?