To find: how fast is the object falling 2 seconds after it is dropped.
Answer to Problem 27E
Explanation of Solution
Given information:
The height of the object above the ground after t sec is
Concept used:
Instantaneous rate of change of any function f at any point a is given by:
Calculation:
For finding the velocity with which the object is falling it is enough to find the instantaneous velocity at
For the function
Hence the instantaneous rate of change is
Chapter 1 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