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Regina’s position along a straight wooden bridge is given by , where is measured in feet and t 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. Homework Help ✎

  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.