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The position vector of a particle at time \(t\) seconds is given by:$$ \Vect{r}(t) = \begin{pmatrix} 3t^2 - 4t \\ 8t + 1 \end{pmatrix} \text{ m} $$
Find the velocity vector, \(\Vect{v}(t)\).
Calculate the speed of the particle at time \(t=2\) seconds.
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