I was recently watching The Matrix, and was considering the speed at which one needs to move to literally dodge a projectile. Now, in real life, it is impossible to dodge bullets as such a feat would require superhuman reflexes and knowing exactly where the bullet will hit.
However, paintballs, which are much slower than any bullets, might be another thing. I was wondering about the fastest paintball speed, which is probably lower than 160 $m/s$. The legal limit is set at about 90 $m/s$, but I am sure that it can go a bit faster to that with a "Mythbuster-type" custom paintball marker.
If I assume that I am about 8 m from a person, and that person needs to move at most .50 m to dodge my paintball, what would have to be my target's speed in order to barely dodge that paintball?
Note: Here, air resistance is already taken into account for the speed of the paintball.