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A fighter plane flying horizontally passes over an antiaircraft gun with a uniform velocity 200 ms-1. The gun can fire the shell with a velocity 2002ms1. At what angle should the gun fire the shell so as to hit the plane?

a
45°
b
30°
c
60°
d
90°

detailed solution

Correct option is A

Let velocity of shell = U and velocity of plane = V and θ be the angle at which shall is fired to hit the plane, thenUcos⁡θ=V⇒cos⁡θ=VU=2002002cos⁡θ=12⇒θ=45∘

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