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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. Homework Help ✎

  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.'

Graph where the x-axis is t and the y-axis is v(t). A sinusoidal like curve intersects the 1st and 4th quadrants. The are under the curve in quadrant 1 is labeled A. P is where the graph crossed the x-axis. The area in the 4th quadrant to the x-axis is labeled B.