A particle rotates counterclockwise in a circle of radius r0 with a constant angular speed of ω0. At time t = 0, the particle has an x coordinate of x0 and is moving to the right.
(a) Determine the x coordinate as a function of time. Express your answer in terms of known quantities.
(b) Find the x component of the particle's velocity. Express your answer in terms of known quantities.
(c) Find the x component of the particle's acceleration. Express your answer in terms of known quantities.