### Home > CALC > Chapter 7 > Lesson 7.1.5 > Problem 7-54

7-54.

Find the average velocity of the traveling point described in problem 7-20. At what time(s) during the interval was the point traveling at this average velocity? Homework Help ✎

This is an application of the Mean Value Theorem of *f*(*x*) (given *F*(*x*)).

In other words, where on the interval [0,5] is the slope of the tangent the same as the slope of the secant?

Find where IROC = AROC

real velocity = average velocity

slope of tangent = slope of secant

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