A 9mm round (most typical in John Wick) is around 600J of muzzle energy (and John Wick fights are extremely close range so we can use the same estimate for impact). That's in the range of a strong punch by a good boxer (a good heavyweight can be well over 1000J).
Punches don't ragdoll humans and neither should bullets stopped by a ballistic vest.
Punches don't ragdoll humans and neither should bullets stopped by a ballistic vest.