(a)
To prove: the particle is always moving to the right.
(a)
Explanation of Solution
Given information :
A particle moves along
As increase the time, the position of particle increase. Time cannot be less than zero. Hence, the particle is always moving to the right.
(b)
To prove: the particle is always decelerating.
(b)
Explanation of Solution
Given information :
A particle moves along
Differentiate
As the time increases,
So, increase in time, leads to decelerate always.
(c)
To find: the limiting position.
(c)
Answer to Problem 39E
The limiting position of particle is
Explanation of Solution
Given information :
A particle moves along
As
The limiting position of particle is
Chapter 3 Solutions
CALCULUS-W/XL 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