buoy in the ocean oscillates up and down in simple harmonic motion according to the equation y = Acos(bt) as waves move past it, where y is the height t is time, and A and b are constants. The buoy moves a total of 3.5 feet vertically from its high point to its low point. It starts (t=0) at its high point and returns to its high point every 10 seconds

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A buoy in the ocean oscillates up and down in simple harmonic motion according to the equation y = Acos(bt) as waves move past it, where y is the height t is time, and A and b are constants. The buoy moves a total of 3.5 feet vertically from its high point to its low point. It starts (t=0) at its high point and returns to its high point every 10 seconds.

  1. Draw diagram of the buoy
  2. Sketch a graph of the position of the buoy over time, where time is the horizontal axis and height is the vertical axis
  3. Write an equation describing the motion of the buoy
  4. Determine the velocity of the buoy as a funciton of t
  5. What is the maximum velocity of the buoy?
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