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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 2002ms−1. At what angle should the gun fire the shell so as to hit the plane?

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a

45°

b

30°

c

60°

d

90°

answer is A.

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Detailed Solution

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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