### 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 *t*= 0, the car was on the Golden Gate Bridge heading north. Homework Help ✎Find a function for

*v*(*t*).How far north has the car traveled at 3 hours? At 4 hours?

Explain what happened to the car between 3 ≤

*t*≤ 5 hours.Set up an integral to represent the displacement from 0 ≤

*t*≤ 6.Set up an integral to represent the total distance from 0 ≤

*t*≤ 6.

Write an equation for each line segment.

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

For 3 ≤ *t* ≤ 5, the function values are negative. This is a velocity graph, so what does negative velocity tell you about position?