You observe ocean waves to have an 11 m distance between wavecrests, a 7.0 s tim

Question

You observe ocean waves to have an 11 m distance between wavecrests, a 7.0 s time between wave crests and a wave height abovethe undisturbed water surface of 1.5 m. You decide to use asteel post in the water as your reference and note that the waveheight is zero at x = 0 and t = 0 initial conditions.

What is the wavespeed?
I figured this part, its the next part that confuses me alittle
= 11 m
T = 7 s
A = 1.5 m

v = /t = (11 m)/(7 s) = 1.57 m/s
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Using the standard form of the traveling wave sinusoidal function(y as a function of x and t, using k and notation), writeout the wave function using the physical parameters of the abovewave.

Explanation / Answer

You observe ocean waves to have an 11 mdistance between wave crests, a 7.0 s time between wave crests and a wave height above the undisturbed water surface of 1.5 m. You decide to use a steel post in the water as your reference and note that the wave height is zero at x = 0 and t = 0 initial conditions. What is the wave speed? {WaveSpeed} = {Wavelength}/{Period} = /T =      = (11m)/(7 sec)      = 1.571 m/sec Using thestandard form of the traveling wave sinusoidal function (y as a function of x and t, using k and notation), write out the wave function using the physical parameters of the above wave. {Amplitude Of Wave} = A = 1.5 meters {Wave Number} = k = (2*Pi)/ =      = 2*Pi/(11m)      = 0.5712 m^(-1) {Angular Freq} = = (2*Pi)*f = (2*Pi)/T =      = 2*Pi/(7sec)      = 0.8976rad/sec {Standard Form} ----> { y =A*Sin(k*x - *t) } ----> y = (1.5)*Sin((0.5712)*x - (0.8976)*t) .

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