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Active Calculus 2nd Ed

Activity 1.2.3.
Consider a moving object whose position function is given by \(s(t) = t^2\text{,}\) where \(s\) is measured in meters and \(t\) is measured in minutes.
(a)
Determine the most simplified expression for the average velocity of the object on the interval \([3, 3+h]\text{,}\) where \(h \gt 0\text{.}\)
(b)
Determine the average velocity of the object on the interval \([3,3.2]\text{.}\) Include units on your answer.
(c)
Determine the instantaneous velocity of the object when \(t = 3\text{.}\) Include units on your answer.