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Question

A rifle shoots a bullet from the ground level with a muzzle velocity of 400 m/s at a small target 400 m away on the ground. The height above the target at which the bullet must be aimed to hit the target is
(g=10 ms2)

A
1 m
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B
5 m
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C
10 m
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D
0.5 m
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Solution

The correct option is B 5 m
Let the height above the target at which the bullet must be aimed =H
According to question
R=400 m
400=u×t .....(i)
Time taken by the bullet to reach the ground =2Hg
From eqn (i),
400=u2Hg400=4002×H10H=5 m

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