a.
To find: The time when Ferris wheel be 53 feet above ground.
a.
Answer to Problem 94E
8 seconds
Explanation of Solution
Given:The height h (in feet) above ground of a seat on a Ferris wheel at time t (in minutes) can be modeled by
The model of Ferris wheel,
At
Put
After 8 seconds the Ferris wheel will be 53 feet from ground.
b.
To find: The time when a person be at top of the Ferris wheel for the first time.
b.
Answer to Problem 94E
5 times
First time at top after 16 seconds.
Second time at top after 48 seconds
Third time at top after 80 seconds
Fourth time at top after 112 seconds
Fifth time at top after 144 seconds.
Explanation of Solution
Given: The height h (in feet) above ground of a seat on a Ferris wheel at time t (in minutes) can be modeled by
The top of Ferris wheel is 103 feet from ground.
Put
After 16 seconds person will be at top of the Ferris wheel.
After 16 second a person will be at bottom of the Ferris wheel.
One complete revolution time is 32 seconds.
In 32 seconds a person will be at top one time.
In 160 seconds
So, In 160 seconds of ride a person will be 5 times at top of the Ferris wheel.
First time at top after 16 seconds.
Second time at top after 48 seconds
Third time at top after 80 seconds
Fourth time at top after 112 seconds
Fifth time at top after 144 seconds.
Chapter 5 Solutions
EBK PRECALCULUS W/LIMITS
- 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