Ahnaf was driving his car in a highway road at 50 miles per hour. Then, he took a turn and traversed 5 miles more in five minutes. The driving speed limit of that road was 55 miles per hour. Did the traffic police have the license to charge Ahnaf for violating the speed limit??
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Here, Ahnaf traversed 5 miles in 5 minutes. That implies the time is 1/12 hour which means his speed was 60 miles per hour. The mean value theorem guarantees that his speed was 60 miles per hour at least once during the 5-minute period.