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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.

  1. Write a function for .

    Write an equation for each line segment.

  2. 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.

  3. Explain what happened to the car for hours.

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

  4. Set up an integral to represent the displacement from .

  5. Set up an integral to represent the total distance from .