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A bullet with muzzle velocity 100 m s^-1...

A bullet with muzzle velocity `100 m s^-1` is to be shot at a target `30 m` away in the same horizontal line. How high above the target must the rifle be aimed so that the bullet will hit the target ?
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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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