Answer:
The water wave function is given as [tex]y(x,t) = 3 sin(\frac{2\pi }{7}(x +0.875t))[/tex]
Explanation:
Water waves are surface waves, which is a mixture of longitudinal and transverse waves.
The general wave equation is given as;
[tex]y(x,t) = A sin(\frac{2\pi }{\lambda}(x +vt))[/tex]
where;
A is the amplitude = 3 m
λ is one wavelength = 7 m
t is period for one complete oscillation, T = 8 s
v is the velocity of the wave;
for each period, the wave travels one wavelength, v = λ/T = 7/8 = 0.875m/s
[tex]y(x,t) = 3 sin(\frac{2\pi }{7}(x +0.875t))[/tex]
Therefore, the water wave function is given as [tex]y(x,t) = 3 sin(\frac{2\pi }{7}(x +0.875t))[/tex]
