Chapter 6.1, Problem 4E

Reminder Round all answers to two decimal places unless otherwise indicated.

Getting Velocity from a Formula When a man jumps from an airplane with an opening parachute, the distance $S=S\left(t\right)$, in feet, that he falls in $t$ seconds is given by

$S=20\left(t+\frac{e^{1.6t}-1}{1.6}\right)$.

a.	Use your calculator to make a graph of $S$ versus $t$ for the first $5\text{ seconds}$ of the fall.
b.	Sketch a graph of velocity for the first $5\text{ seconds}$ of the fall.