document.write( "Question 299753: vertical distance between a wave's high point and low point is 1.8 and they cycle is repeated every 4 seconds. determine a sinusoidal equation\r
\n" ); document.write( "\n" ); document.write( "use your model to determine when the boat is 0.5 abovie its mean position \n" ); document.write( "

Algebra.Com's Answer #215277 by Alan3354(69443) $\"\"$ $\"About$

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vertical distance between a wave's high point and low point is 1.8 and they cycle is repeated every 4 seconds. determine a sinusoidal equation
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\n" ); document.write( "h(t) = 0.9*sin(2pi*t/4) t in seconds, vertical units not specified
\n" ); document.write( "h(t) = 0.9*sin(pi*t/2)
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\n" ); document.write( "use your model to determine when the boat is 0.5 abovie its mean position
\n" ); document.write( "0.5 = 0.9*sin(pi*t/2)
\n" ); document.write( "sin(pi*t/2) = 5/9 =~ 0.55555
\n" ); document.write( "pi*t/2 = arcsin(0.55555) =~ 0.589, 2.5526 radians
\n" ); document.write( "t = 0.589*2/pi
\n" ); document.write( "t =~ 0.375 + 4n seconds, n = 0,1,2,3,... rising
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\n" ); document.write( "t = 2.5526*2/pi
\n" ); document.write( "t =~ 1.625 + 4n seconds, n = 0,1,2,3.... falling
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\n" ); document.write( "Or, t = (1 +/- 0.625) + 4n seconds, n = 0,1,2,3,... \n" ); document.write( "

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