Problem

A 28,000 lb A-10 Thunderbolt is flying at a constant speed of 375 mph when it fires a 4 s...

A 28,000 lb A-10 Thunderbolt is flying at a constant speed of 375 mph when it fires a 4 s burst from its forward-facing seven-barrel Gatling gun. The gun fires 13.2 oz projectiles at a constant rate of 4200 rounds/min. The muzzle velocity of each projectile is 3250 ft/s. Assume that each of the plane’s two jet engines maintains a constant thrust of 9000 lb, that the plane is subject to a constant air resistance while the gun is firing (equal to that before the burst), and that the plane flies straight and level during that time. Determine the plane’s change in velocity at the end of the 4 s burst, modeling the airplane’s change of mass due to firing as a continuous mass loss.