Concept explainers
The equation which describe the motion of the bobber where the high point corresponds to the time t =0.
Answer to Problem 96RE
The equation of the motion is given as:
Explanation of Solution
Given:
The fishing bobber oscillate in the simple harmonic motion because of the wave in the lake. The bobber moves total of 1.5 inches from its low point to the high point and return to its high point after every 3 seconds.
When the point moving on the coordinate is known as the simple harmonic motion, it the distance d from the origin at the time t is give as:
The motion has the amplitude
Since, the bobber is at high point, t =0, using the equation:
The distance between the highest point and the lowest point is 1.5 in.
When the bobber return to the highest point every 3 second, the time period will be 3s.
Hence,
Therefore, the equation of the motion is given as:
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