- The velocity \(\mathbf { v } \mathrm { m } \mathrm { s } ^ { - 1 }\) of a particle \(P\) at time \(t\) seconds is given by
$$\mathbf { v } = ( 3 t - 2 ) \mathbf { i } - 5 t \mathbf { j } .$$
- Show that the acceleration of \(P\) is constant.
(2)
At \(t = 0\), the position vector of \(P\) relative to a fixed origin O is \(3 \mathbf { i } \mathrm {~m}\). - Find the distance of \(P\) from O when \(t = 2\).