Question -
Answer -
Height of the fighter plane = 1.5 km = 1500 m
Speed of the fighter plane, v = 720 km/h = 200 m/s
Let θ bethe angle with the vertical so that the shell hits the plane. The situation isshown in the given figure.
Muzzle velocity of the gun, u =600 m/s
Time taken by the shell to hit the plane = t
Horizontal distance travelled by the shell = uxt
Distance travelled by the plane = vt
The shellhits the plane. Hence, these two distances must be equal.
uxt = vt
In order to avoid being hit by the shell,the pilot must fly the plane at an altitude (H) higher than the maximum heightachieved by the shell.
