How fast does a .22 caliber bullet go?

Depends on the .22 cartridge, what weight bullet, and what it is fired in. Some .22s travel slower than the speed of sound (about 1100 fps) some high velocity 22 LR cartridges fired from a rifle reach muzzle velocity of 1750 fps with a 30 grain bullet. The .22 Magnum may reach 2200 fps with the 30 grain bullet.