A particle executes simple harmonic motion with amplitude 0.05m and angular frequency 8πrad s−1. It starts from the equilibrium position moving towards the positive extreme at t=0.
a. (i) Write the equation for the displacement x(t).
b. (ii) Determine the earliest time (after t=0) at which the displacement becomes 0.025m.
c. (iii) Find the magnitude of the velocity and acceleration of the particle at the instant calculated in part (ii).