2 A particle \(P\) moves in a straight line, starting from a point \(O\). At time \(t \mathrm {~s}\) after leaving \(O\), the velocity of \(P , v \mathrm {~m} \mathrm {~s} ^ { - 1 }\), is given by \(v = 4 t ^ { 2 } - 8 t + 3\).
- Find the two values of \(t\) at which \(P\) is at instantaneous rest.
- Find the distance travelled by \(P\) between these two times.