A hunter aims his fun and fires a bullet directly at a monkey on a tree. At the instant the bullet leaves the gun, the monkey drops. The bullet

Options

A. his the monkey
B. mises to hit the monkey
C. cannot be said
D. None of these

Answer

A

Explanation

Initially the height of the monkey `=MB=y=xtan theta`Let the monkey drop to along line MA and the bulletreach along the parabolic path OA. If both reach atA simultaneously, the monkey is hit by the bullet.
`AB=x tan theta-(gx^(2))/(2u^(2) cos^(2) theta`
`MA= MB-AB`
`MA=x tan theta -xtan theta+(gx^(2))/(2u^(2)cos^(2) theta)`

`=(gx^(2))/(ucostheta)`
Time taken by the bullet to reach point A ,
` t=(x)/(u cos theta)`
Hence from (A) ,`MA = (1//2)"gt"^(2)`
The monkey drops through distance (1/2) `"gt"^(2)` in the some time. So the monkey is hit by the bullet.