You have decided to make a CO$2($molar mass $=44$ g$/$mole$)$ propelled leisure rocket. The CO$2$ tank contains mostly liquid CO$2$ at $80$ ATM. The CO$2,$ tank and frictionless cart have a mass of $50$ kg$.$ Your mass is $70$ kg$.$ To make your rocket go you open a valve $($cross section A $=5$ cm$2)$ that lets CO$2$ gas escape at a temperature of $0$C$,$ atmospheric pressure and a velocity of $300$ m$/$s$.$ Because the CO$2$ in the tank is stored as liquid and the escaping fluid is a gas, you can assume steady flow until the liquid is gone. A$)$ When you first open the rocket valve, what will be your acceleration in the horizontal direction? B$)$ Between when you open the valve and until just before the liquid is gone, do you expect the acceleration to increase, decrease or stay the same $($explain your answer in $20$ words or less$).$