Two days after he bought a speedometer for his bicycle, Lance brought it back to the Yellow Jersey Bike Shop. "There is a problem with this speedometer," Lance complained to the clerk. "Yesterday I cycled the 22-mile Rogadzo Road Trail in 71 minutes, and not once did the speedometer read above 15 miles per hour!" "Yeah?" responded the clerk. "What's the problem?" To explain Lance's complaint, first compute his average velocity. (Use decimal notation. Give your answer to two decimal places.) average velocity: How did Lance use the Mean Value Theorem to explain his complaint? miles/hour For 50% of time, Lance's speed exceeds his average speed that in turn is above 15 miles/hour. There is at least one moment of time when Lance's speed is equal to his average speed. At that moment Lance's speed exceeds the speed of 15 miles/hour. As Lance's average speed is greater than 15 miles/hour, at any moment of time the speedometer should show the speed that is above 15 miles/hour.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Two days after he bought a speedometer for his bicycle, Lance brought it back to the Yellow Jersey Bike Shop. "There is a
problem with this speedometer," Lance complained to the clerk. "Yesterday I cycled the 22-mile Rogadzo Road Trail in 71
minutes, and not once did the speedometer read above 15 miles per hour!" "Yeah?" responded the clerk. "What's the problem?"
To explain Lance's complaint, first compute his average velocity.
(Use decimal notation. Give your answer to two decimal places.)
average velocity:
How did Lance use the Mean Value Theorem to explain his complaint?
miles/hour
For 50% of time, Lance's speed exceeds his average speed that in turn is above 15 miles/hour.
There is at least one moment of time when Lance's speed is equal to his average speed. At that moment Lance's speed
exceeds the speed of 15 miles/hour.
As Lance's average speed is greater than 15 miles/hour, at any moment of time the speedometer should show the speed
that is above 15 miles/hour.
Transcribed Image Text:Two days after he bought a speedometer for his bicycle, Lance brought it back to the Yellow Jersey Bike Shop. "There is a problem with this speedometer," Lance complained to the clerk. "Yesterday I cycled the 22-mile Rogadzo Road Trail in 71 minutes, and not once did the speedometer read above 15 miles per hour!" "Yeah?" responded the clerk. "What's the problem?" To explain Lance's complaint, first compute his average velocity. (Use decimal notation. Give your answer to two decimal places.) average velocity: How did Lance use the Mean Value Theorem to explain his complaint? miles/hour For 50% of time, Lance's speed exceeds his average speed that in turn is above 15 miles/hour. There is at least one moment of time when Lance's speed is equal to his average speed. At that moment Lance's speed exceeds the speed of 15 miles/hour. As Lance's average speed is greater than 15 miles/hour, at any moment of time the speedometer should show the speed that is above 15 miles/hour.
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