Concept explainers
To find : Why the tucker was cited for speeding.
Answer to Problem 11E
At some point on the toll road the speed of the trucker was at least 79.5 mi/hr which is greater than the speed limit.
Explanation of Solution
Given information :
A trucker handed in a ticket at a toll booth showing that in 2h she had covered 159 mi on a toll road with speed limit 65mph..
Calculation :
According to the mean value theorem, for the average slope in this case the speed for the whole function, there must be a point on the function that must be equals the average.
Also, the trucker travelled 159mi in 2 hours, so the average will be
Hence,
She was cited for speeding.
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic
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