### Home > PC3 > Chapter 13 > Lesson 13.3.2 > Problem13-116

13-116.

Sketch a velocity (ft/s) graph according to the following function:

$v(t) =\left\{ \begin{array} { c c } { 2 t } & { \text { for } 0 \leq t \leq 10 } \\ { 20 } & { \text { for } 10 < t < 20 } \\ { - 2 t + 60 } & { \text { for } 20 \leq t \leq 30 } \end{array} \right.$

1. What does the area under the curve represent?

What are the units on the axes? Multiply these units.

2. Calculate the area under the curve.

Use familiar geometric shapes.

3. How does this relate to a position graph?