A cork is floating in a lake bobbing in simple harmonic motion. Its displacement above the bottom of the lake is modeled by y= 0.2 cos(20nt)+8 where y is measured in meters and t is measured in minutes. Find the time it takes the cork to move from its equilibrium position to its highest position, then lowest position and back to it's equilibrium position. 1 minutes O 0.1 minutes 10 minutes 20 minutes

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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A cork is floating in a lake bobbing in simple harmonic motion. Its displacement above
the bottom of the lake is modeled by y = 0.2 cos(20nt) + 8 where y is measured in
meters and t is measured in minutes.
Find the time it takes the cork to move from its equilibrium position to its highest
position, then lowest position and back to it's equilibrium position.
1 minutes
0.1 minutes
O 10 minutes
20 minutes
Transcribed Image Text:A cork is floating in a lake bobbing in simple harmonic motion. Its displacement above the bottom of the lake is modeled by y = 0.2 cos(20nt) + 8 where y is measured in meters and t is measured in minutes. Find the time it takes the cork to move from its equilibrium position to its highest position, then lowest position and back to it's equilibrium position. 1 minutes 0.1 minutes O 10 minutes 20 minutes
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