An object thrown straight up can be modeled by the equation v^2/2g, where v is the initial velocity of the object and g is the acceleration due to gravity (9.81 m/s^2).
For a 9mm pistol with a muzzle velocity of approximately 380 m/s, the maximum range is around 7,360 m (about 4.5 miles).
The 5.56mm NATO round used in British Army rifles is more powerful, with a range of over 43,000 meters (27 miles), but that’s in a vacuum.
Air resistance significantly affects this calculation, so the maximum altitude reached is likely to be less than one-fifth of these estimated distances.
This article addresses a question from Tammy Giles via email: “If you shoot a bullet straight up, how far will it go?”
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Source: www.sciencefocus.com
