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The velocity of a roller coaster car in meters per second on a certain segment of track is represented by the function .

  1. Sketch a graph of the velocity function for . What is the speed of the car at ?

    Recall that speed is the absolute value of velocity.

    Don't forget the units!

  2. Assuming that the car is  meters above ground at , where is the car at ? How far is this drop?

    initial position is meters

    Displacement is area between the velocity curve and -axis. Notice that the area is negative (below the -axis).

    Total distance of the drop area under a SPEED graph.