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A rifle with a muzzle velocity of 100ms^...

A rifle with a muzzle velocity of `100ms^(-1)` shots a bullet at a small target 30 m away in the same horizontal line. How much height above the target must the rifle be aimed so that the bullet will hit the target?

Text Solution

Verified by Experts

Let `theta` is the angle of projection of bullet.
Let the rifle bet a tO target at T.
As OT is horizontal range =30m.
`implies((u^(2))/g)sin 2 theta=30impliessin 2 theta =0.03`
As `sin 2 theta` is small, so take `sin 2 theta =2 theta`
`2 theta =0.03impliestheta=0.015`
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