Question

A zookeeper is trying to shoot a monkey sitting at the top of a tree with a tranquilizer gun. if the monkey drops from the tree at the same instant that the zookeeper fires, where should the zookeeper aim if he wants to hit the monkey? (neglect any effects due to air resistance.)

Answer 1

Hey there!
He should aim a few feet below the monkey so when the monkey drops from the tree, it gets hit. If he were to aim directly at the monkey, then he would miss because the monkey drops right when the zookeeper fires.
Hope this helps!

Answer 2

Answer:

Yes it will hit the monkey

Explanation:

Here when zookeeper aim the position of monkey and then shoot towards it then in this position the velocity of the bullet has two components

$v_x = vcos\theta$

$v_y = vsin\theta$

Now when the bullet reached the same horizontal distance as that the position of monkey then time taken by it

$t = \frac{x}{v cos\theta}$

now in the same time the height of the bullet is given as

$y = (vsin\theta) t - \frac{1}{2}gt^2$

$y = (vsin\theta)(\frac{x}{vcos\theta}) - \frac{1}{2}g(\frac{x}{vcos\theta})^2$

$y = x tan\theta - \frac{1}{2}gt^2$

here let say monkey is at height H initially then

$H = x tan\theta$

$y = H - \frac{1}{2}gt^2$

this above equation also shows the position of monkey after t time of drop

so here bullet will hit the monkey