### Home > PC3 > Chapter 13 > Lesson 13.3.3 > Problem13-128

13-128.

Steady Freddy always drives his car at a constant rate of $30$ miles per hour.

The velocity is the slope (or rate of change) or the position function.
Position can be determined by calculating the area under the curve of a velocity function.

1. Write an equation for Freddy’s velocity as a function of time. Sketch a graph of this function.

2. How far has Freddy traveled after $1$ hour? After $2$ hours? After $3$ hours?

3. Using your answers to part (b), what is Freddy’s position as a function of time?

4. How is Freddy’s position function related to the graph of Freddy’s velocity function?

5. How is Freddy’s velocity function related to his position function?