A fully loaded Boeing 777-200 jet transport aircraft has a mass of \(325,000 \mathrm{~kg}\). The pilot brings the 2 engines to full takeoff thrust of \(450 \mathrm{kN}\) each before releasing the brakes. Neglecting aerodynamic and rolling resistance, estimate the minimum runway length and time needed to reach a takeoff speed of \(225 \mathrm{~km} / \mathrm{hr}\). Assume engine thrust remains constant during ground roll.