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

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.*

Find her average velocity in the interval

. 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.