A twin-engine jet aircraft requires a total net propulsive thrust of \(6000 \mathrm{lbf}\). Each engine consumes air at the rate of \(120 \mathrm{lbm} / \mathrm{sec}\) when traveling at \(650 \mathrm{ft} / \mathrm{sec}\). Fuel is added in each engine at the rate of \(3.0 \mathrm{lbm} / \mathrm{sec}\). Assume that pressure equilibrium exists across the exit plane and compute the velocity of the exhaust gases relative to the plane.