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  1. The graph at right shows the velocity of an object over time defined by the function v(t) = −0.5t2 + 3t + 1. Homework Help ✎

    1. Use your graphing calculator to evaluate .

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

    3. What does represent?

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

You just calculated the area under a velocity graph.

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?