There are some possibilities here!

You say he paced you for only 0.5 of a mile from where he was parked at a stop finishing off another ticket to where he pulled you over, Yes?

If that is true find out how far police have to pace you in your area to get a "true speed" reading, if he had to exceed the speed limit to catch up with you and only checked your speed as he put on his lights at your bumper you could do road measurements and prove that the cop was only using his speedo to guage your speed and inaccuratly checked your speed as he was slowing down. The fact he wrote you up for 62 in a 40 zone seems to confirm my theory. I make the presumption no radar was involved?

I have used this defence in the past and it has worked but you have to take pictures of the road from where he was at to where he pulled you over and get him in court to confirm this in front of the judge. Then some math comes in to prove how fast he had to accelerate to catch up with you. Some county road maps will help your case as they show recognized distances and the layout of the curve.

Can't help you on the 55 in a 40 zone unless you can prove that there was very little traffic and you were observing a safe speed at the national speed limit (worked for me before when I got pulled over at 2AM in a 45 zone)

Hope that helps, but if your unsure I would really contact a lawyer as suggested earlier.

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