I once got pulled over for doing 94 on the freeway (it was supposed to be 70), but I didn't tell the cop that I got up to 113 and he only caught me as I was slowing down.
And 113 is as fast as my car goes because it's a puny little Toyota. It was cool that I got enough time to see how fast my car could go on flat road though. The speedometer peaks at 120, so I expected to get at least 110 as my max. I could've gone faster if I got to a downward hill, but I had no such luck. Anyway, it was sad to get caught. There wasn't a single car in sight the entire time (until I came up to a couple cop cars on the side of the road, who pulled me over), otherwise I wouldn't have even done it, because it would've put other people in danger. Luckily the cop was pretty gracious and wrote me up for going only 80, as it was my first driving offense. Written up for only doing 80 when I actually went 113.. yeah, I couldn't be too upset about it, and it still taught me not to speed like that again. Besides, that little joy drive allowed me to know how fast my car can accelerate and I know my top speed on a flat, so I have the info I need just in case a cold-blooded killer ends up pursuing me in a car chase in the future.
While we're on this topic of cops: I also secretly want to kill a female officer "York", because she wrote me up a ticket on my own car because it was BARELY blocking MY OWN driveway, and I was inside my house as she wrote the ticket. She was a lazy f*** that didn't even go up to the door to ask who's car it was... ok, I don't want to "kill" her, but I'd love to see someone shoot out her tires or something. I'm not a bad person and I don't have any problems with any other cops I've met, just that one.
Also, I went to Mexico once in my late teenage years, and I found the cops there to be far more intimidating. I heard that they can arrest you if you look at them in a way that can offend them. After hearing that, I didn't think it wise to test it out to see if it was really true or not. Instead, I decided to go blow up some rocks in a random person's back yard with a few friends which led to a neighbor (or the owner?) yelling for the police to come, which forced me and my friends to book it and hop a few fences. Luckily, we got away and no one saw our faces. And, yes, it was fun and exciting, and stupid.
Those are all of my cop-related secrets/stories.