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Answer the following questions using the graph at right, which shows the velocity of a runner over time. The letters and represent the areas of the two regions in the diagram. 

  1. If the runner was at the starting line at , describe her direction during the interval illustrated on the graph at right.

    Include information about the direction that the runner was moving.

  2. What is the significance of point ?

    How does the runner's motion change when s/he reaches point ?

  3. What does region represent in this situation? That is, what does it tell you about the runner? What about region ?

    What does area under a velocity curve represent?

  4. If meters and meters, what does represent in this situation? Why is negative?

    Compare and contrast 'displacement' with 'total distance.'

Coordinate plane, x axis labeled, t, y axis labeled, v of t, downward curve starting at the origin, turning down at point in first quadrant, changing from opening down to opening up at point on positive x axis, labeled, p, turning up in fourth quadrant, stopping at the x axis, region below curve in first quadrant, labeled A, region above curve in fourth quadrant, labeled, B.