An airplane is flying horizontally with speed 1000 km/h (280 m/s) when an engine falls off. Neglecting air resistance, assume that it takes 30 s for the engine to hit the ground.
(a) Show that the altitude of the airplane is 4.4 km. (Use g = 9.8 m/s².)
(b) Show that the horizontal distance that the airplane engine travels during its fall is 8.4 km.
(c) If the airplane somehow continues to fly as though nothing had happened, where is the engine relative to the airplane at the moment the engine hits the ground?