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Two police officers are sitting one mile apart along a highway with a speed limit of 65 miles per hour. A red Honda passes the
Two police officers are sitting one mile apart along a highway with a speed limit of 65 miles per hour. A red Honda passes the first police officer who notes the car's speed is 50 miles per hour at that time. Forty-five seconds later the car passes the second police officer who also notes the car's speed is 50 miles per hour at that time. After communicating with each other, the police officers pull over the car and tell the driver he was speeding. How could they have known? a. The car took 45 seconds to travel 1 mile. Let's convert that number. 45 seconds is minutes, or hours. b. Divide the change in distance (1 mile) by the time elapsed (in hours) to determine the red Honda's average speed during the 45-second interval between passing the police officers. The red Honda's average speed was miles per hour. c. Which of the following is the best description for how the police officers knew the driver was speeding? The driver was not speeding and the police made a mistake since, if you add up the speeds 50 mph, 50 mph, and the average speed and then divide by 3, you get 60 mph, and this is less than the speed limit. The car traveled at exactly the average speed during the entire interval, so the driver was speeding since the average speed is greater than the speed limit. The police officers could not have known anything about the driver's speed during the interval. They made a mistake. Since the constant speed needed to travel the 1 mile distance in 45 seconds is a
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