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Home > CALC > Chapter 7 > Lesson 7.4.4 > Problem 7-213


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

  1. Find her average velocity in the interval .

  2. At what time in this interval was she 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 differentable.