[问答题]
A particle P moves along a
dd 3.8bsx2c la(2k1lm( angmj straight line so that its veloci
jo,8ad kjkc, 3ty, $v, \mathrm{~ms}^{-1}$ , 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.
