Physics - Mechanics

Gravity Explained Simply: Why a Fired Bullet Lands Just as Fast as a Dropped One

Imagine: you fire a bullet horizontally from a gun. At the exact same moment, someone next to you simply drops a second bullet from the same height. Which bullet reaches the ground first?

Answer: both at the same time (ignoring air resistance, as is usually done in physics class).

dropped fired

The four terracotta dots show the dropped bullet at four equal moments in time, the four brick-red dots the fired bullet at the same moments. At every moment, both have fallen exactly the same distance - only the brick-red bullet is also moving to the right.

Why is that?

Motion in space can be broken down into two independent directions: horizontal and vertical.

Gravity "knows nothing" about the bullet's horizontal speed. It pulls both bullets downward at exactly the same rate. That's why both bullets cover the same falling distance in the same time - and hit the ground at the same moment.

Fall distance: s = ½ · g · t² applies equally to both bullets, regardless of horizontal speed

đź’¬ Mia asks Grandpa Theo

Mia

Wait - why doesn't the fired bullet fall faster than the one I simply drop? It flies off so much faster!

Grandpa Theo

Yes, but only sideways! Downward, gravity pulls both bullets exactly equally hard. The fast sideways motion doesn't change that at all.

Mia

Wow, I wouldn't have guessed that! Does it have a name?

Grandpa Theo

Physicists call this the independence of motion directions. Horizontal and vertical are like two separate stories happening at the same time!

Note: in the real world, air resistance slows fast projectiles down slightly, which changes the result a tiny bit. But for physics class (and almost all everyday cases), air resistance is ignored - the principle stays the same.

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