Kinematics Reasonings

A hunter fires a bullet directly towards a monkey sitting at a distant tree. At the instant, the bullet leaves the barrel, the monkey drops. Will the bullet hit the monkey?

Yes, if the monkey is within the range of the bullet. When the monkey drops, it descends the vertical height of $\frac{1}{2}gt^2$ in time $t$. In the same time $t$, the bullet will also descend through a vertical height of $\frac{1}{2}gt^2$. Since the vertical distance in both the cases are same, the bullet will hit the monkey.

[Read: Projectile Motion]