b6adfc…: “At a funny prime”

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Consider an object moving along a line that has velocity and initial position given by

\begin{align*} v(t) &= -\pi \cos (\pi t)\\ s(0) &= 2 \end{align*}

for $0\leq t\leq 4$.

The position function for the particle for $0\leq t\leq 4$ is given by

\[ s(t) = \answer {2-\sin (\pi t)}. \]