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?

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Expert Answer

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

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S0)-/(а) r(о)- b -а

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Step 2

the instantaneous speed is equal to average speed.

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

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f(b)-f(a) Average speed b-a

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Tagged in

Math

Calculus

Continuity