lol! Of course if you are being chased for a mile and you are a runner, you can outrun a cop, but the key would be to get away from them in the first 250m. A lot of cops I know can cover this distance in about 30 seconds. That is NOT slow by any means.
I raced a cop in a 400m once right after track season. I was still training since some of the team made state, so I was still in prime. He was ahead of me until about 150m. He probably had a 8m - 10m lead when I was at 50m. That made me run the race wrong though and I would have lost if it had been maybe 500m. But, my first 200m split was 20.84 which was about 1.2 seconds faster than my PR split (also .16 faster than Michael Johnson's WR split...) and I ended up finishing at 50.07 which was almost 3 second slower than my PR.
This guy ran a 54.83, so my conditioning made a difference, but had this been a chase, I would have gone down. Even though the 100m was my weakest event, my PR was a 10.81, which is pretty respectable. In my 400m PR, my splits were: 11.44, 10.62, 10.75, 14.51. In this one I probably ran 11.3, 9.54, 11.5, 17.73 and I estimate my 150m split was 16.1. In my 200m PR, my splits were 10.94, 9.62, so my 150m split was probably 15.7. This means, that had it been a 200m race, I would have not gotten the lead until about 145 meters...
I raced against a 2 minute 800m runner in a 400m and I completely destroyed him... He never stood a chance. He was with me for maybe 20 meters and then it was over. I looked back when I hit the final straight away and he was just getting into the 2nd curve... He made a little ground on me before I finished because I won by about 70m.
Keep this in mind... Usain Bolt hit 40 yards at 4.368 seconds. Warren Sapp (290 pounds) had a 40 yard dash of 4.69. So, lesson of the day, don't run from cops. Maybe you can kill them in a 5k or even an 800m, but that doesn't mean anything in a 5 - 10 second foot chase... When you see the stuff on COPs where they outrun the police, those people are insane. They do nothing but run away from people, so they are good at it. But even them, they are usually caught, just they struggle and get away then they outrun the cops.