SOLUTION: Please help :) The vertical motion of a rubber raft on a lake approximates simple harmonic motion due to the waves. If the amplitude of the motion is 0.250 m and the period is 3

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Question 179234: Please help :)
The vertical motion of a rubber raft on a lake approximates simple harmonic motion due to the waves. If the amplitude of the motion is 0.250 m and the period is 3.00 s, find an equation for the vertical displacement y as a function of the time t. SKETCH two cycles.
Answer by stanbon(48558) About Me  (Show Source):
You can put this solution on YOUR website!
The vertical motion of a rubber raft on a lake approximates simple harmonic motion due to the waves. If the amplitude of the motion is 0.250 m and the period is 3.00 s, find an equation for the vertical displacement y as a function of the time t. SKETCH two cycles.
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Form: y = asin(bx+c)
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a = amplitude = 0.25
period = 2(pi)/b = 3 seconds
Therefore b = (2/3)pi
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Equation y = 0.25sin[(2/3)pi]
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graph%28400%2C300%2C-15%2C15%2C-1%2C1%2C0.25sin%28%282%2F3%29%283.14159%29x%29%29
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Cheers,
Stan H.