(a)
To define: The
(a)
Explanation of Solution
Given information:
The velocity of the particle over time is v(t). It is measured in feet per second.
The acceleration of the particle is
The particle is moves back and forth along the straight line.
The upper limit is 120 seconds (2 minute) and lower limit is 60 seconds (1 minute).
The displacement is an integral of velocity (v) over time (t).
Show the integral function as follows:
Equation (1) represents the displacement of the particle from first to second minute duration.
Therefore, the displacement of the particle from first to second minute time duration is represented as
(b)
To define: The integral
(b)
Explanation of Solution
Show the integral function as follows:
Equation (2) represents the total distance travelled by the particle from first to second minute duration.
The sum of the distance traveled by the particle in the straight line on time interval of
Therefore
(c)
To define: The integral
(c)
Explanation of Solution
The velocity is an integral of acceleration (a) over time (t).
Show the integral function as follows:
Equation (3) represents the velocity change of the particle from first to second minute duration.
Therefore
Chapter 5 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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