For a Rocket propulsion velocity of exhaust gases relative to rocket is $2\; km/s$. If mass of rocket system is 1000 kg, then the rate of fuel consumption for a rocket to rise up with acceleration $4.9\; m/s^2$ will be :

Question

$\begin{array}{1 1} (1)\; \text{12.25 kg/s} \\ (2)\;\text{17.5 kg/s} \\ (3)\; \text{7.35 kg/s} \\ (4)\; \text{5.2 kg/s} \end{array}$