CPM Homework Banner

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

4-100.
  1. 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 ✎

    1. Find a function for v(t).

    2. How far north has the car traveled at 3 hours? At 4 hours?

    3. Explain what happened to the car between 3 ≤ t ≤ 5 hours.

    4. Set up an integral to represent the displacement from 0 ≤ t ≤ 6.

    5. 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?