Concept explainers
a.
Show that,
a.
Explanation of Solution
Given information: The resistance encountered by a moving object is proportional to the object’s velocity so that its velocity is
Proof: The required proved is obtained as,
Since velocity is an instantaneous rate of change of displacement, then
Substitute
Substitute
b.
To show that the total coasting distance travelled by the object as it coast to a complete stop is
b.
Explanation of Solution
Given information: The resistance encountered by a moving object is proportional to the object’s velocity so that its velocity is
Proof:
The required proved is obtained as,
The velocity of the object is
Chapter 7 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th 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