Jessica Harter, Graduate Teaching Assistent at University of Wisconsin Milwaukee, Numerade Educator

10:59

Calculus

Free fall with air resistance An object is dropped straight down from a helicopter. The object falls faster and faster but its acceleration (rate of change of its velocity) decreases ower time
because of air resistance. The acceleration is measured in $\mathrm{ft} / \mathrm{sec}^{2}$ and recorded every second after the drop for $5 \mathrm{sec},$ as shown:
$\frac{t}{a} \left| \begin{array}{ccccc}{0} & {1} & {2} & {3} & {4} & {5} \\ \hline a & {32.00} & {19.41} & {11.77} & {7.14} & {4.33} & {2.63}\end{array}\right.$
a. Find an upper estimate for the speed when $t=5$
b. Find a lower estimate for the spced when $t=5$ .
c. Find an upper estimate for the distance fallen when $t=3$ .

Chapter 5: Integration

Section 1: Area and Estimating with Finite Sums