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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.