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A particle starts from rest at the point \((5, 1)\). Its acceleration vector at time \(t\) is given by \(\Vect{a}(t) = \begin{pmatrix} 3t \\ -2 \end{pmatrix}\) m/s².
Find the velocity vector, \(\Vect{v}(t)\).
Find the position vector, \(\Vect{r}(t)\).
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