An aircraft oof masss 300 kg flies at a speed of `360 h^(-1)` and makes a turn of radius 2500 m. Determine the aircraft's bank angle and d the magnitude of the lift needed to perform the turn in a hhorizontal plane. The lift is always directed perpendicular to the plane of the aircraft wings.

A fighter plane flying horizontally at an altitude of 1.5 km with speed 720 km//h passes directly overhead an anti-aircraft gun. At what angle from the vertical should the gun be fired for the shell with muzzle speed 600 m s^-1 to hit the plane ? At what minimum altitude should the pilot fly the plane to avoid being hit ? (Take g = 10 ms^2 ).