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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 be at O and traget at T.
As OT , is horiontal , range = 30 m .
`rArr ((u^(2))/(g)) sin 2 theta = 30 rArr 2 theta = 0.03`
As `sin 2 theta` in small , so take sin `2theta = 2theta`
`2 theta = 0.03 rArr theta = 0.015`
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