Here is a rule that governs the motion of particles in my hypothetical Cartesian plane universe:

- a particle can move a maximum distance of V_{x}units along the x-axis and V_{y}units along the y-axis per one unit of time.

- the acceleration along the axes is also bounded. The limits are A_{x}for the x-axis and A_{y}for the y-axis.

Suppose that a particle moves around a circular path of radius R. Given the maximum per axis velocity/acceleration restrictions above, how can I compute the maximum angular displacement per unit of time?

Any tips greatly appreciated. Thanks