### Home > CALC > Chapter 7 > Lesson 7.1.5 > Problem7-54

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?

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.