Traffic Violation CVC 22350 pacing my speed?

My speed was paced 56 in a 40 zone, however I looked at my speedometer during the zone for which I'm cited & it said about 40. There was no car behind me until further down the road in a 50 zone, which after some time following me, turned out to be a cop, who then flashed their lights behind me. I pulled over & he gave me a ticket for speeding in the 40 zone & said he "paced" me "at about 56". I told him my speedometer said 40 in that zone. He said I should have my dad look at it because if its off by 16mph… And kind of gave me a look.
But every time I ever passed one of those speed signs that tells you how fast you're going, my speedometer was always exactly matched.
We were also going uphill when he was behind me & the zone he claims i was being paced for was right after I had been stopped at a red light & behind one car who had made a right hand turn after the intersection.
I drive a 1988 Ford Ranger lol to get to such a speed in a short distance, up an incline, is about impossible without risking blowing the little truck up.
He came up behind me pretty quickly as we were going up the hill. After he pulled me over, he said that normally when a cop gets behind someone, they slow down.
First of all, I didn't know it was a cop- it was at night & all I saw were headlights.
Second, if someone comes flying up behind me, why would my instinct be to slow down?
Third, if I wasn't speeding, why would I be on the lookout for cops?
I have court today. Any helpful info? Any laws?

It doesn't matter what you think you were going. Unless you can prove somehow that you were going the speed you said you were going, then you should just pay the fine. You were obviously speeding, so pay the fine and move on.

They will believe the cop.

I was found not guilty. Sometimes It pays to stick to your guns when you know you're right.

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