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The speed limit in the area was a mere 25 miles per hour ... I found that my phone only recorded a top speed of just 26 miles per hour

It seems that he probably was speeding, albeit only slightly. That makes it more impressive that he ended up not guilty!

In Boston (all of MA?), as I understand it, it's only a crime to go 5 mph or more over the speed limit. 4mph or less and you don't get a ticket.

It's the same in Ohio as well

Here's a table of speeding laws, for anyone else who's wondering about their state: http://www.mit.edu/~jfc/laws.html