<PRE><B>Question 179234</B>
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(400,300,-15,15,-1,1,0.25sin((2/3)(3.14159)x))}}}
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Cheers,
Stan H.</PRE>