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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 (given ).
In other words, where on the interval 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 to find out WHERE the equation above holds true.