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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`45m`

`45cm`

`45mm`

`30cm`

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Verified by Experts

The correct Answer is:

A bullet …………….
Horizontal range of bullet is `30 m (V^(2)sin 2theta)/(9)= 30 implies`
`sin2theta = 0.03`
for small `theta` , `sin theta ~= theta`
`implies 2theta ~= 0.03 implies` , `theta = 0.015`
height to be aimed `= 30 tan theta ~= 30(theta)`
`~=30(0.15)`
`=45 cm`

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