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You are driving a car traveling on an interstate highway at 50 mph, and you pass...

You are driving a car traveling on an interstate highway at 50 mph, and you pass a police car. Four minutes later, you pass a second police car, and you are again traveling at 50 mph. The speed limit on the interstate is 60 mph. The distance between the two police cars is five miles.

1. You foolishly argue with the patrolman who is writing your speeding ticket, and he calls his brother who is currently taking Calculus and has just learned the MVT and the IVT. Bad news! Now the patrolman rewrites your ticket and charges you for driving 65 mph twice during the four minutes. How can he prove this?

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