Very good suggestion, actually. Being able to know your limit, is pretty good. Yesterday it happened to me, and I kept going to different places not to loose health or get teleported.. yet, it still did this to me. I was trying to find the end but seemed like on my left side the distance from cops was bigger, compared to my right side (while looking at the cops), which made me think that maybe it's not just a line, but more like it's random placed.
Anyways, I'm Positive.