To calculate: Find (a) the instantaneous velocity at any time t.
(b) the acceleration of the particle at any time t.
(c) the time when particle at rest.
(d) the time when particle change the direction.
Answer to Problem 21E
The correct answer is (a)
(b)
(c)
(d)
Explanation of Solution
Given information: Position of particle at any time t is given
Formula used: We know that, Instantaneous velocity is
Calculation:
- For instantaneous velocity
- For instantaneous acceleration
&emap;
&emap;
(c) Time when particle at rest,
&emap;
(d) See the below graph carefully,
Red graph shows distance-time and blue graph shows velocity-time. From the blue graph we can say particle change the direction
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
Calculus & Its Applications (14th Edition)
Calculus: Early Transcendentals (3rd 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