Assume that a car drove for two hours and traversed 120 miles. The average rate of change is clearly 60 miles per hour. Was it possible for the car to have gone over 60 mph at some point in the interval? Explain how. Was it possible for the car to have stayed under 60 mph the whole time?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Assume that a car drove for two hours and traversed 120 miles. The average rate of change is clearly 60 miles per hour. Was it possible for the car to have gone over 60 mph at some point in the interval? Explain how. Was it possible for the car to have stayed under 60 mph the whole time? Explain how. Was it possible for the car never to have gone exactly 60 mph?Explain how. The truth of this statement is an example of the Mean Value Theorem from Calculus

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