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The graph at right shows the velocity of an object over time defined by the function .

  1. Use your graphing calculator to evaluate .

  2. What does the result in part (a) calculate?

    You just calculated the area under a velocity graph.

  3. What does represent?

    Translation 1: What is the derivative of a velocity function?
    Translation 2: What is the slope function of a velocity function?

    Translation 3: If velocity is the derivative of position, then what is the derivative of velocity?

  4. What will the units be in part (c)?

First quadrant, x axis labeled time, seconds, y axis labeled velocity, feet per sec, downward parabola, vertex at (3, comma 5), passing through (0, comma 1), with shaded region below the curve & left of x = 4.