4 A particle is connected to a fixed point by a light inextensible string of length 2.45 m to make a simple pendulum. The particle is released from rest with the string taut and inclined at 0.1 radians to the downward vertical.

1. Show that the motion of the particle is approximately simple harmonic with period 3.14 s , correct to 3 significant figures. Calculate, in either order,
2. the angular speed of the pendulum when it has moved 0.04 radians from the initial position,
3. the time taken by the pendulum to move 0.04 radians from the initial position.