Concept explainers
(a)
To find: The slope of the path of the particle at time
(a)
Answer to Problem 48RE
The slope of the path of the particle at time
Explanation of Solution
Given:
The parametric equations are
Calculation:
The slope of the particle is given by,
Differentiate the equation
Differentiate the equation
Find the slope of the path of the particle at time
Therefore, the slope of the path of the particle at time
(b)
To find: The speed of the particle when
(b)
Answer to Problem 48RE
The speed of the particle when
Explanation of Solution
Given:
The parametric equations are
Calculation:
Find the velocity
Find the magnitude of the velocity vector as follows.
Find the speed of the particle when
Therefore, the speed of the particle when
(c)
To find: The distance traveled by the particle along the path from
(c)
Answer to Problem 48RE
The distance traveled by the particle along the path from
Explanation of Solution
Given:
The parametric equations are
Calculation:
Find distance traveled by the particle along the path from
Therefore, the distance traveled by the particle along the path from
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Precalculus Enhanced with Graphing Utilities (7th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus & Its Applications (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (3rd 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