Azookeeper 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.)

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

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

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

here let say monkey is at height H initially then

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

so here bullet will hit the monkey

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be

the components of a vector are the parts of the vectors that are to each other.

b perpendicular