CPM Homework Banner

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

  1. Use your graphing calculator to evaluate .

    You should get 

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

    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 would the units be in part (c)?

    Evaluate and simplify: , where  and  seconds.