(a) (b) An aircraft is flying straight and level over horizontal ground at a height of 500 m and speed of 300 km/hour. The pilot releases a payload at time t = 0. Assuming the flight of the payload to be ballistic, (i) (ii) how long does it take for the payload to hit the ground? how far along the ground from the point directly below the release point does the payload impact? (iii) what is the speed of the payload at impact? If the height above ground of the aircraft at the release point is h, its speed is u and the ground slopes downwards at an angle a below horizontal, find an expression for the time taken for the payload to hit the ground.