To write: an equation that describes the motion of the buoy where the high point corresponds to the time
Answer to Problem 50E
The equation that describes the motion of the buoy is
Explanation of Solution
Given information:
The buoy moves a total of 3.5 feet from its low point to its high point and it returns to its high point every 10 seconds.
Given picture,
Calculation:
Consider the following figure
A point that moves on a coordintate is said to be in simple Harmonic Motion if its distance
Where
The motion has amplitude
Since the buoy at its high point, when
Since the distance between highest and lowest point is 3.5 feet
Therefore
Since the buoy returns to the highest point every 10 seconds, period is
That is
Thus the equation that describes the motion of the buoy is
Chapter 4 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