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A car travels at a rate of miles per hour for .

  1. Sketch a velocity graph and label the axes with the correct units.

  2. Shade the area under the curve for . What does this area represent?

    The area represents distance traveled (or displacement) between and .

  3. What are the units of the area? Explain how you know.

    The shape is a trapezoid.
    base and base are vertical, so they represent velocity 
    Height is horizontal, so it represents time, in hours. Evaluate the area of a trapezoid. Simplify the units.

  4. Compute the distance traveled for .

    Find  .

Use the eTool below to set values for t.
Click the link at right for the full version of the eTool: Calc 1-37 HW eTool