[问答题]
A particle P moves along a st
*-sa exbx1hyh-e(p;z vg t/bgj46l i6raight line so that its veloci
)e7 oh6 fm z(rj*- gwcdh3*xlpty, v, $\mathrm{~ms}^{-1}$ , after t seconds, is given by v=2 $\sin t-\cos 5 t+0.1$ , for $ 0 \leq t \leq 4 $. The initial displacement of P from a fixed point O is 2 metres.
1. Find the displacement of P from O after 4 seconds.
2. Find the second time for t , when the particle is at rest.
3. Write down the number of times P changes direction.
4. Write down the number of times P is neither accelerating or decelerating.
5. Find the maximum distance of P from O during the time $0 \leq t \leq 4$ and justify your answer.
