To prove : An object be at rest and have positive acceleration. Also, the motion of such an object.
Explanation of Solution
Given information :
An object is in rest.
Formula used :
Velocity is the derivative of the positive function with respect to time. At time
The acceleration is the derivative of velocity with respect to time. If velocity at time
Proof:
Yes, an object can be at rest and have positive acceleration.
Like, Simple Harmonic Motion.
(Oscillation of objects oscillates to and fro about its mean position)
When an object is at a negative extreme position its velocity is zero, while acceleration is positive.
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