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Regina’s position along a straight wooden bridge is given by , where is measured in feet and is measured in seconds. At she passes her friend Angela who is going the other way, and then at she stops to gaze at the water below.

  1. Calculate Regina’s average velocity over the interval .

  2. At what time in this interval was Regina traveling at her average velocity?

    This is an application of the Mean Value Theorem, which guarantees that, on a closed interval, IROC AROC somewhere if the function is continuous and differentiable.