$(25)$ The rectangular plate rotates in the $x-y$ plane about the corner $O.$ At the instant shown, the acceleration of point $A$ is $a_A=60\frac{m}{s^2}$ in the direction shown. Determine the acceleration of point $C.$

$a_{cn}=28\mathrm{.}72\frac{m}{s^2},a_{ct}=24\mathrm{.}1\frac{m}{s^2}$