Question 1160909: A buoy rises and falls as it rides the waves. The equation h(t)= sin(36t) models the displacement of the buoy, h(t), in metres at t seconds. a) Determine the period of the function. b) What is the displacement at 30 s? c) What is the displacement at 12 s? d) At what time, to the nearest tenth of a second, does the displacement first reach 0.7 m.
I need steps please also
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A buoy rises and falls as it rides the waves. The equation h(t)= sin(36t) models the displacement of the buoy, h(t), in metres at t seconds. a) Determine the period of the function.
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The period of sin(t) is 2pi
Period of sin(36t) is 2pi/36 = pi/18 seconds
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b) What is the displacement at 30 s?
h(30) = sin(36*30) = 0
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c) What is the displacement at 12 s?
h(12) = sin(36*12) =~ 0.951 meters
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d) At what time, to the nearest tenth of a second, does the displacement first reach 0.7 m.
h(t) = sin(36t) = 0.7
36t =~ 44.42
t =~ 1.2 seconds
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