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Question

It was calculated that a shell when fired from a gun with a certain velocity and at an angle of elevation 5π36 rad should strike a given target in the same horizontal plane. In actual practice, it was found that a hill just prevented the trajectory. At what angle of elevation should the gun be fired to hit the target.

A
5π36rad
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B
11π36rad
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C
7π36rad
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D
13π36rad
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Solution

The correct option is D 13π36rad
Same horizontal displacement is obtained in projectile motion for angles of projection of:
θandπ2θ
Hence the two pairs are.
5π36and13π36
Hence it will only hit the target if fired at 13π36
Hence option D is correct.

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