A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 2.00 cm, and the frequency is 1.50 Hz.
(a) Show that the position of the particle is given by x = (2.00cm) sin (3.00 t) Determine
(b) The maximum speed and the earliest time (t > 0) at which the particle has this speed,
(c) The maximum acceleration and the earliest time (t > 0) at which the particle has this acceleration, and
(d) The total distance traveled between t = 0 and t = 1.00 s.