Wave Motion A buoy oscillates in simple harmonic = A cos wt as waves move past it. The buoy moves a total of 3.5 feet (vertically) from its low point to its high point. It returns to its high point every 10 seconds. motion (a) Write an equation describing the motion of the buoy if it is at its high point at 1 = 0. (b) Determine the velocity of the buoy as a function of t.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.5: Graphs Of Sine And Cosine Functions
Problem 80E: For a person at rest, the velocity v (in liters per second) of airflow during a respiratory cycle...
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#168: a&b
COs 121
sin 12
3
where y is measured
Determine the position and velocity of the object when
= 7/8.
feet and t is the time in seconds.
167. Pendulum A 15-centimeter pendulum moves according
to the equation 0 = 0.2 cos 81, where 0 is the angular
displacement from the vertical in radians and i is the time in
seconds. Determine the maximum angular displacement and
the rate of change of 0 whent =
3 seconds.
168. Wave Motion A buoy oscillates in simple harmonic
y = A cos wt as waves move past it. The buoy moves
a total of 3.5 feet (vertically) from its low point to its high
point. It returns to its high point every 10 seconds.
motion
(a) Write an equation describing the motion of the buoy if it
is at its high point at 1 = 0.
(b) Determine the velocity of the buoy as a function of t.
in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapterist
perience. Cengage Learning reserves the right to remove additional content at any time if subsequent nghts restnctions requiret
3.4
The Chain Rule
163
peratures
re shown
ospheric
171. Modeling Data The table shows the temperatures T (F
at which water boils at selected pressures p (pounds per
(Source: Standard Handhook of Mechanican
square inch).
Transcribed Image Text:COs 121 sin 12 3 where y is measured Determine the position and velocity of the object when = 7/8. feet and t is the time in seconds. 167. Pendulum A 15-centimeter pendulum moves according to the equation 0 = 0.2 cos 81, where 0 is the angular displacement from the vertical in radians and i is the time in seconds. Determine the maximum angular displacement and the rate of change of 0 whent = 3 seconds. 168. Wave Motion A buoy oscillates in simple harmonic y = A cos wt as waves move past it. The buoy moves a total of 3.5 feet (vertically) from its low point to its high point. It returns to its high point every 10 seconds. motion (a) Write an equation describing the motion of the buoy if it is at its high point at 1 = 0. (b) Determine the velocity of the buoy as a function of t. in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapterist perience. Cengage Learning reserves the right to remove additional content at any time if subsequent nghts restnctions requiret 3.4 The Chain Rule 163 peratures re shown ospheric 171. Modeling Data The table shows the temperatures T (F at which water boils at selected pressures p (pounds per (Source: Standard Handhook of Mechanican square inch).
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