Question

A hunter aims his gun and fires a bullet directly at a monkey on a tree. At the instant the bullet leaves the barrel of the gun, the monkey drops. Pick the correct statement regarding the situation.

• A. The bullet will never hit the monkey
• B. The bullet will always hit the monkey
• C. The bullet may or may not hit the monkey
• D. Can’t be predicted

Answer 1

Answer: (B)

$t=\frac{O C}{u \cos \theta}=\frac{x}{u \cos \theta}$
$A C=x \tan \theta$
$B C=$ distance travelled by bullet in time $t$, vertically
$y=u \sin \theta t-\frac{1}{2} g t^{2}$
$A B=x \tan \theta-\left(u \sin \theta-\frac{1}{2} g t^{2}\right)$
$\Rightarrow $ distance trevelled by monkey
$=x$ tan $\theta-x$ tan $\theta+\frac{1}{2}$ gt $^{2}=\frac{1}{2} g t^{2}$
$(\therefore $ bullet will always hit the monkey $)$