I just got a ticket today, I'm really pissed off about it...

I was coming out of a shopping center where I just picked up some pizza and got on it a bit but not too much, I wanted to get home fast so the piza wasn't cold.
Next thing I know in my rearview mirror 6-7 cars back theres a cop with his lights on to pull me over, the stupid slow inrepid ones. He pulls me over and says I was going 87 in a 50!!!! WTF I never got close to that speed. Ontop of this he threatens me with going to jail or getting a criminal offense.
I couldn't do anything and I got the ticket. Now I'm wondering what can I do? I had a witness in the car with me, can I take this to court??

How can a cop pace me from 7+ cars back? That's not possible pacing is when they are right on your ass or else it is not accurate at all. And to top it off he was in one of those shitty ford taurus slow pos cop cars.

Now that I think of it I should have ran, seriously. I know my car is faster and can handle better and they can't chase people anymore. FUCk

Please help me...