Exercise 11

A bungee jumper dives from a tower at time $t=0$. Her height $s$ in feet at time $t$ in seconds is given by $s(t) = 100\cos(0.75t) \cdot e^{-0.2t}+100$.

1. Write an expression for the average velocity of the bungee jumper on the interval $[1,1+h]$.
2. Use computing technology to estimate the value of the limit as $h \to 0$ of the quantity you found in (a).
3. What is the meaning of the value of the limit in (b)? What are its units?