To find: Which graph is which give reason.
Answer to Problem 31E
The graph C is for position B is for velocity and A is for acceleration.
Explanation of Solution
Given:
The graph is given below:
Concept used:
Geometrical meaning of derivative.
Calculation:
Geometrically, the derivative of a function can be interpreted as the slope of the graph of the function or, as the slope of the tangent line at a point. Its calculation, in fact, derives from the slope formula for a straight line,
It is known that the slope of a curve is defined as change in
From the above graph it is clear that The slope of graph C is zero at two points at those points y coordinates are 0 of graph A that means the slope is zero at that points. When tangent is most negative in C the Graph of B is at lowest. This gives the idea that A is the velocity graph of position graph C.
In graph of A, the slope of tangent is zero at a point where the y coordinate is zero of graph B. That means slope is zero at that point.
Chapter 2 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