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The position vector of a particle at time \(t\) seconds is given by:$$ \Vect{r}(t) = \begin{pmatrix} 4\cos(t) \\ 4\sin(t) \\ 3t \end{pmatrix} \text{ m} $$
Find the velocity vector, \(\Vect{v}(t)\).
Calculate the speed of the particle at any time \(t\).
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