An object moving in circular motion with constant speed is described by the following equations:

x(t) = Acos(wt+f)

y(t) = Asin(wt+f)

where A is the radius of the of the circle.

These are the same equations that describe an object oscillating on an ideal spring with amplitude A about the equilibrium position.

What are the equations for v(t) and a(t) for the oscillator shown in the animation?