A particle executes simple harmonic motion about the point x = 0. At t=0 it has displacement x = 0.00m and velocity v = +1.00m/s. If the frequency of the motion is 0.250Hz, determine
(a) the period,
(b) the angular frequency
(c) the amplitude
(d) the maximum speed
(e) the maximum acceleration
(f) the displacement at t = 3.67s,
(g) the velocity at t = 3.67s,
(h) the acceleration at t = 3.67s.