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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.