Chapter 1.2, Problem 12E

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

Falling with a Parachute If an average-sized man jumps from an airplane with a properly opening parachute, his downward velocity $v=v\left(t\right)$, in feet per second, $t$ seconds into the fall is given by the following table.

$\begin{array}{c}t=Seconds\\ intothefall\end{array}$	$v=Velocity$
$0$	$0$
$1$	$16$
$2$	$19.2$
$3$	$19.84$
$4$	$19.97$

a. Explain why you expect $v$ to have a limiting value and what this limiting value represents physically.

b. Estimate the terminal velocity of the parachutist.