Question

A rifle with a muzzle velocity of `100m//s` shoots a bullet at small target `30m` away in the same horizontal line. How high above the traget must the gun be aimed so that the bullet will hit the target. (Hint: use small angle approximation.)

Answer 1

Correct Answer - `h = 0.45m`
`30 = (u6(2)sin 2 theta)/(g) rArr 30 xx 10 - 100^(2) sin 2 theta`
`sin 2 theta = 0.03 rArr 2 theta = 0.03`
`theta = 0.015 rArr tan theta = 0.015`
`(h)/(30) = 0.015 rArr h = 0.45 m`