(a)
To calculate: The balloon’s average velocity during the first 3 sec of fall.
(a)
Answer to Problem 69E
The velocity is
Explanation of Solution
Given information: Water balloon is dropped
Calculation:
Speed on average is defined as:
Consequently, the average speed is:
Therefore, the average velocity during the first 3 sec of fall is
(b)
To calculate: The velocity at the instant
(b)
Answer to Problem 69E
The velocity is
Explanation of Solution
Given information: Water balloon is dropped
Calculation:
To use the diagram on the left, determine the object's average speed from time
Then,
Increase the numerator:
Remove the
Then find the limit as
By substitute
Therefore, the required velocity is
Chapter 1 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/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