Question

At the instant that you fire a bullet horizontally from a rifle, you drop a bullet from the height of the gun barrel. If there is no air resistance, which bullet hits the level ground first? Explain.

Short answer

Both the bullets will hit the ground at the same time.

Step-by-step solution

Concept/Significance of projectile.

A projectile is an entity that is fired with a certain beginning velocity and is permitted to move in two dimensions under the effect of gravity alone.

Determination of bullet which hits the level ground first

The trajectory of the bullet is given by,

In the xand y dimensions, motion along the illustrated trajectory may be divided into two perpendicular components. These movements are unrelated to one another. As a result, particles launched horizontally from A and dropped from A will take the same amount of time to reach the earth. In other terms, the time it takes to fall from a specific height will be completely independent of the starting velocity's direction.

Thus, both the bullets will hit the ground at the same time.