a.
To calculate: The velocity, speed , jerk and acceleration at time
a.
Answer to Problem 33E
The velocity is
Explanation of Solution
Given information:
The function is.
Concept used:
The formula used is
Calculation:
The function is
Differentiate the function with respect to time
The speed is always a positive quantity.
Differentiate the function
Differentiate the function
b.
To calculate: The velocity, speed and acceleration at time
b.
Answer to Problem 33E
The velocity is
Explanation of Solution
Given information:
The function is.
Concept used:
The formula used is
Calculation:
The function is
Differentiate the function with respect to time
Substitute
The speed is always a positive quantity.
Substitute
Differentiate the function
Substitute
Differentiate the function
Substitute
c.
To calculate: The motion of the particle.
c.
Explanation of Solution
Given information:
The function is.
Concept used:
The standard form of the motion is
Calculation:
The particle will start its motion at
Substitute
The mean position is
The period of motion is
The greatest velocity of the body can be achieved when it is either
The acceleration is greatest when
The greatest jerk of the body can be achieved when it is either
Chapter 2 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
- 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