Let \(\vec{r}(t) = \langle \cos\left(\frac{\pi}{2} t\right), \sin\left(\frac{\pi}{2} t\right) \rangle\) as in Example 11.1.5. Find the average rate of change of \(\vec{r}(t)\) on \([-1, 1]\) and on \([-1, 5]\).
vector-valued-functionsaverage-rate-of-changedisplacementkinematicscalculus-iiimultivariable-calculusparametric-equationstrigonometric-functionsperiodicityevaluate-rate
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