Question

A kayaker paddles from the shore to out beyond the breaking surf to where the waves are sinusoidal in shape, due to simple harmonic motion. The distance between crests (peaks) are 10.0 m apart. The kayak moves a vertical distance of 1.5 m from peak to trough which takes 1.5s. Answer the following questions from this information: (a) Draw a diagram (you might need two) that demonstrates the wavelength, frequency and velocity of the wave. Make sure you show your working. (b) Provide the wave equation of the wave (for a wave travelling in a positive direction with respect to time) by first calculating the wave number, angular frequency and amplitude. State the final equation with these values.

Could you please show me how to solve this step by step,thanks

Answer #1

I’m your research, you model the waves as being driven by
sinusoids source with a frequency of 0.267Hz with the magnitude of
the vertical displacement between the crest of one wave and the
trough/valley of another is 6.00m. The vertical displacement is
symmetric about the origin in the y-dimension. The speed of the
waves passing your testing location is 5.30m/s and the waves are
moving toward shore. At t=0, a wave crest, at its maximum vertical
displacement, passes your testing...

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