Suppose we are told that the acceleration $A$ of a particle moving with uniform speed $v$ in a circle of radius $r$ is proportional to some power of r, say $r^n$, and some power of v, say $v^m$. Which of the following is the simplest form of an equation for the acceleration?

Question

$\begin {array} {1 1} (A) A = k \large\frac{v}{r} \\ (B) A = k \large\frac{v}{r^2} \\ (C) A = k \large\frac{v^2}{r} \\ (D) A = kvr \end {array}$