### Home > CALC > Chapter 4 > Lesson 4.3.1 > Problem 4-100

4-100.

The graph at right shows the velocity (in miles per hour) of a car during a road trip. At time , the car was on the Golden Gate Bridge heading north.

Find a function for

.Write an equation for each line segment.

How far north has the car traveled at

hours? At hours? Since this is a velocity graph, calculate the area under the curve for the given interval.

and

Explain what happened to the car between

hours. For

, the function values are negative. This is a velocity graph, so what does negative velocity tell you about position? Set up an integral to represent the displacement from

. Set up an integral to represent the total distance from

.