### Home > PC > Chapter 9 > Lesson 9.3.2 > Problem9-111

9-111.

Graph the velocity (in ft/s) 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 would 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?