Being a professional speeder from Jersey (carried it to Florida but after years, finally limiting it :-D )
I HATE when cops do this. Absolutely stick to the speed limit and all traffic signs, etc. He’ll use it to just teach you a lesson for slowing him down.
OR - you COULD try - if he is illegally and unsafely on your tail, open the window and wave Left hand to motion somehow to get his attention - if he pulls you over - are you bold enough to say ‘I’m concerned you are following me unsafely while I go the speed limit and if a squirrel runs out and I have to jam on my brakes, you will rear-end me at no fault of my own.” (meanwhile take his badge or car number to document what happens next.
I’m probably poking the bear...
And if the arrogant public servant wants to see why he is hated, he should look in the mirror.