During an experiment a student observes that a body attached to an ideal light spring moves with maximum speed 1.5ms−1 when its displacement from equilibrium is zero. The amplitude of oscillation is measured to be 6.0cm. Assume the motion begins at t=0 from the extreme position on the positive side.
(i) Determine the angular frequency of oscillation.
(ii) Using your result from part (i), calculate the time period T of the motion.
(iii) Find the displacement, velocity, and acceleration of the body at time t=6T, clearly indicating the sign of each quantity.