Will a bullet fired from a gun perpendicular to the surface of Earth return? [duplicate]

How will a bullet having very high velocity and having little mass behave when fired from the Earth perpendicular to the surface? It will be a great help if somwone explained it? Will it come back? Or will it escape into the outer space?

• Depends on how fast you fire the bullet! If you fire it faster than escape velocity $v_{\text{esc}}$, it will never come back. If you fire it slower than $v_{\text{esc}}/\sqrt{2}$ it will hit the ground. Otherwise it'll come back. May 20, 2018 at 11:28
• @knzhou don't forget the rotation of earth=)))
– OON
May 20, 2018 at 11:36
• @OON You're right, of course! But also the air drag, the effect of the Sun and moon, ... May 20, 2018 at 11:36
• @knzhou The highest speed bullets 1.2-1.7 km/s (en.wikipedia.org/wiki/Muzzle_velocity) are still much slower than the escape velocity of 11 km/s (en.wikipedia.org/wiki/Escape_velocity). Fortunately they still fall near those who fire them. May 20, 2018 at 13:12
• @knzhou Well, obviously there are more important effects than others. Unless you fire close to the moon it will give quite small contribution. The biggest variable is the air drag that may be huge for the light bullet but small if you consider heavier shell with appropriate aerodynamics. If I have more time later I may write answer addressing this thing.
– OON
May 20, 2018 at 16:39