### Home > CALC > Chapter 3 > Lesson 3.2.2 > Problem3-63

3-63.

Answer the following questions using the graph at right, which shows the velocity of a runner over time. The letters $A$ and $B$ represent the areas of the two regions in the diagram.

1. Describe the motion of the runner during the time that is illustrated in the graph.

Include information about the direction that the runner was moving.

2. What is the significance of point $p$?

How does the runner's motion change when she/he reaches point $p$?

3. What does the area $A$ represent in this situation? That is, what does it tell you about the runner? What about area $B$?

What does area under a velocity curve represent?

4. If $A = 30$ meters and $B =-5$ meters, what does $A + B$ represent in this situation? Why is $B$ negative?

Compare and contrast 'displacement' with 'total distance.'