Problem $3(3$ points$)$: The cross$-$section for the fuel tank of an experimental vehicle is shown in the Figure below. The rectangular tank is vented to the atmosphere, and the specific gravity of the fuel is $SG=0\mathrm{.}75.$ A pressure transducer is mounted in its side as illustrated. During testing of the vehicle, the tank is subjected to a constant linear acceleration $a_y.$ Determine an expression that relates $a_y$ and the pressure at the transducer. What is the maximum acceleration that can occur before the fuel level drops below the transducer?