(a)
To find: The velocity and acceleration
(a)
Answer to Problem 40RE
The velocity vector, and acceleration vector are
Explanation of Solution
Given:
The position vector is
Calculation:
Find the derivative of the position vector with respect to time to find the velocity vector of the particle.
Find the velocity vector of the particle as follows.
Find the derivative of the velocity vector with respect to time to find the acceleration vector of the particle.
Find the acceleration vector of the particle as follows.
Therefore, the velocity vector, and acceleration vector are
(b)
To find: The speed at the given value of
(b)
Answer to Problem 40RE
The speed at
Explanation of Solution
Given:
The position vector is
Calculation:
Find the velocity vector of the particle at
Find the magnitude of the velocity vector as follows.
Therefore, the speed at
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus & Its Applications (14th 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