Concept explainers
To find: The distance between the runner and his friend.
Answer to Problem 43E
The distance between the runner and his friend is
Explanation of Solution
Given information:
The given speed is
Calculation:
Consider the figure.
Figure
In the figure,
The distance will be labeled as
The
Use the law of cosines and differentiate with respect to time
We can relate the speed of runner by the arc length
Differentiate both sides,
Thus,
And,
Now we have all values and we can solve for
Therefore, the distance between the runner and his friend is
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning