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)

$t=\frac{OC}{u\cos \theta }=\frac{x}{u\cos \theta }$
$AC=x\tan \theta$
$BC=$ distance travelled by bullet in time $t$, vertically
$y=u\sin \theta t-\frac{1}{2}g{t}^2$
$AB=x\tan \theta -\left(u\sin \theta -\frac{1}{2}g{t}^2\right)$
$\Rightarrow$ 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 $)$