- [Maximum mark: 7]
A particle P moves in a straight line. The velocity (v \text{ ms}^{-1}) of P, at time (t) seconds is given by (v(t) = e^{-\sin t} \cos(2t)), for (0 \le t \le 5).
(a) Find the maximum speed of P. [2]
(b) Find the total distance travelled by P. [2]
(c) Find the acceleration when P changes direction for the second time. [3]