An ocean wave traveling in one direction has a wavelength of 1.0 m and a frequency of 1.25 Hz. Take the direction of wave propagation lo be the positive x direction. (a) What is the speed (in m/s) of this ocean wave?
(b) Assuming that this wave is harmonic, and its amplitude is 2.0 m, what equation would describe its motion? Let the displacement at t = 0 s and x = 0 m be a maximum.
(c) What will be the height of the wave 3.0 m from the origin at t = 10 s?

a)

b)  

c)    

Explanation:

a) The speed of a wave is given by the following equation:

Where:

λ is the wavelength

f is the frequency

b) The harmonic wave has the following equation:

A is the amplitude (2 m)

k is the wavenumber (2π/λ)  

ω is the angular frequency (2πf)

c) Here we need to find the heigth at x=3 m and t =10 s, so we need to find y(3,10).

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