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CalculusQ&A LibraryA state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another officer 29mi along the highway. When the car reached the location of the second officer 28 min later, it was clocked going 60 mi/hr. The driver of the car was given a ticket for exceeding the 60 mi/hr speed limit. Why can the officer conclude that the driver exceeded the speed limit?Question

Asked Oct 22, 2019

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A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another officer 29mi along the highway. When the car reached the location of the second officer 28 min later, it was clocked going 60 mi/hr. The driver of the car was given a ticket for exceeding the 60 mi/hr speed limit. Why can the officer conclude that the driver exceeded the speed limit?

Step 1

Mean value theorem states that:

If f(x) is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists some value x = c such that

Step 2

the instantaneous speed is equal to average speed.

Since, the driver is driving along the highway, Assum...

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