3. A particle is performing simple harmonic motion along a straight line between the points \(A\) and \(B\) where \(A B = 8 \mathrm {~m}\). The period of the motion is 12 seconds.
- Find the maximum speed of the particle in terms of \(\pi\).
The points \(P\) and \(Q\) are on the line \(A B\) at distances of 3 m and 6 m respectively from \(A\).
- Find, correct to 3 significant figures, the time it takes for the particle to travel directly from \(P\) to \(Q\).
(6 marks)