### Home > APCALC > Chapter 7 > Lesson 7.1.5 > Problem 7-51

7-51.

The point from problem 7-19 travels along the *x*-axis so that at time *t *its position is given by , where

This is an application of the Mean Value Theorem of (given

*).*

In other words, where on the interval

Determine where IROC = AROC.

real velocity = average velocity

slope of tangent = slope of secant

Solve for to find out WHERE the equation above holds true.