i.
To calculate: To solve the magnitude of the velocity
i.
Answer to Problem 49RE
The magnitude of the velocity vector is
Explanation of Solution
Given information: The given curve as follows:
The position of a particle at any time
Calculation:
Since , the magnitude of a velocity vector can be calculated as:
The area in an integral form can be represented as follows:
ii.
To calculate: To solve the distance travelled by the particle.
ii.
Answer to Problem 49RE
The total distance travelled by the particle is
Explanation of Solution
Given information: The given curve as follows:
The position of a particle at any time
Calculation:
Since , the distance can be calculated as:
iii.
To calculate: To solve
iii.
Answer to Problem 49RE
The value of
Explanation of Solution
Given information: The given curve as follows:
The position of a particle at any time
Calculation:
Chapter 10 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- 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