AHSME 1951 Problem 28

The pressure $(P)$ of wind on a sail varies jointly as the area $(A)$ of the sail and the square of the velocity $(V)$ of the wind. The pressure on a square foot is $1$ pound when the velocity is $16$ miles per hour. The velocity of the wind when the pressure on a square yard is $36$ pounds is: $\textbf{(A)}\ 10\frac{2}{3}\text{ mph} \textbf{(B)}\ 96\text{ mph} \textbf{(C)}\ 32\text{ mph} \textbf{(D)}\ 1\frac{2}{3}\text{ mph} \textbf{(E)}\ 16\text{ mph}$