CPM Homework Help : PC Problem 9-163

Suppose that the velocity $v\left(t\right) = 10t$ for $0 ≤ t ≤ 5$ . Find the distance traveled in the first $t$ seconds.

Hint:

Find the area under the curve from $0$ to $t$ .

$\text{area}=\frac{(\text{base})(\text{height})}{2}$

First quadrant, x axis scaled in ones from 0 to 5, y axis scaled in twenties from 0 to 40, increasing line labeled 10 t, passing through origin & (4, comma 40), area below line & left of about x = 4.25, shaded.