An enemy plane is flying horizontally at an altitude of 2 km with a speed of 300 ms-1. An armyman with an anti - aircraft gun on the ground sights the enemy plane when it is directly overhead and fires a shell with a muzzle speed of 600 ms-1. At what angle with the vertical should the gun be fired so as to hit the plane ?

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60°

30°

53°

45°

answer is B.

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Detailed Solution

They should have same horizontal displacement.300t=Ucos⁡θt300=600cos⁡θθ=60∘ with horizontal withvertical →30∘.

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