Arkenis
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Depends on the actions you accomplish and also what gun is used.How exactly would you be faster then the bullets in that scenario?
Something simple you can do is use say 9x19mm Parabellum: 390m/s
Assuming a character did an action where he moved 6m * 390m/s (gun speed) / 3m away (distance bullet was away) = 780m/s the character is now 2x faster than the bullet.
Now also take into account the skill of the shooter, he may be capable of firing it faster thus the target needs be consistently capable of reacting at this speed and likely greater especially with battles where they get up closer such as swordsmen vs gun fights.