MTSU Mean Value Theorem Calculus Discussion


Discuss how you could use the Mean Value Theorem in the following scenario.

Two police cars are parked ten miles apart along the same straight stretch of highway. The first police officer clocks a person going 50 miles per hour. Eight minutes later, the second officer clocks the same person going 55 miles per hour. Show that the person must have been exceeding the speed limit of 70 miles per hour along this highway at some point during this eight-minute window of time.