# SOLUTION: 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 use your model to determine when t

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 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 use your model to determine when the boat is 0.5 abovie its mean position Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!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 ------------------ h(t) = 0.9*sin(2pi*t/4) t in seconds, vertical units not specified h(t) = 0.9*sin(pi*t/2) ------------------------ use your model to determine when the boat is 0.5 abovie its mean position 0.5 = 0.9*sin(pi*t/2) sin(pi*t/2) = 5/9 =~ 0.55555 pi*t/2 = arcsin(0.55555) =~ 0.589, 2.5526 radians t = 0.589*2/pi t =~ 0.375 + 4n seconds, n = 0,1,2,3,... rising ----------------- t = 2.5526*2/pi t =~ 1.625 + 4n seconds, n = 0,1,2,3.... falling ---------------- Or, t = (1 +/- 0.625) + 4n seconds, n = 0,1,2,3,...