I'm not speeding, officer!

Calculus Level 2

A motorist is driving down the freeway that has a speed limit of 6060 MPH. The police car he passes at 10:3010\text{:}30 AM records him as going 6060 MPH, so he isn't pulled over. Two hours and 156156 miles later, he passes another police car, again registering as traveling at 6060 MPH, so once again he is not pulled over. At some point during the trip, was he speeding? If so, you know this due to which theorem?

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