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Activity 10.2.4.

Suppose a moving object in space has its velocity given by

\begin{equation*} \vv(t) = (-2\sin(2t)) \vi + (2 \cos(t)) \vj + \left(1 - \frac{1}{1+t}\right) \vk\text{.} \end{equation*}

A graph of the position of the object for times $t$ in $[-0.5,3]$ is shown in Figure 10.2.9. Suppose further that the object is at the point $(1.5,-1,0)$ at time $t=0\text{.}$

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