CPM Homework Help : CALC Problem 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?

Hint:

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?

Steps:

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.