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A fighter plane flying at an altitude of 1.5 km with a speed 72 km per hr passes directly overhead an anti aircraft gun. At what angle from the vertical should the gun be fired for the shell with muzzle velocity 600m/s to it the plane.(g=10m per secsqu.)(sin19.5deg = 0.333)

A fighter plane flying at an altitude of 1.5 km with a speed 72 km per hr passes directly overhead an anti aircraft gun. At what angle from the vertical should the gun be fired for the shell with muzzle velocity 600m/s to it the plane.(g=10m per secsqu.)(sin19.5deg = 0.333)

Grade:11

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
7 years ago
lets it is fired at angleØ, then at time t the bullet hit the plane
72*5/18 t= 600cosØ *t
1500=600sinØ*t-5t^2
20= 600 cosØ
cosØ=1/3
sinØ=2sqrt(2)/3


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