1.

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?

Answer»

Solution :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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