I've had a similar thing happen to me fairly recently, batting from Shrewsbury back to Stoke after a shift driving an HGV,approximately 3:30am,my then 325i felt like a rocket powered rolling skate and I was driving it accordingly.
I was pulling a bigger and bigger gap on the car behind, doing a few leptons, when eventually he put his blues on!
It was a marked Police car too, I pulled over, he merely pulled along side asked " having trouble taking off Wing Commander?" And drove off!
I sat there for a minute or so afterwards thinking WTF!?! and feeling quite relieved!