In an engine, a piston oscillates with simple harmonic motion so that its position varies according to

Question:

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x = (5.00 cm) cos (2t + /6) where x is in centimeters and t is in seconds. At t = 0, find
(a) The position of the piston,
(b) Its velocity, and
(c) Its acceleration.
(d) Find the period and amplitude of the motion.