A gun vessel of weight 600 kg fired a shell of 10 kg weight which moves with a velocity of 400 m/s and is taken up by a buffer attached to the carriage with a constant force that brings the vessel to a halt at a distance of 0.55 m. Determine (a) the impulse due to the explosion (b) the recoil velocity of the shell (c) the force and time of the recoil of the vessel.​