Answer: 12.12 m
Explanation:
We have the following data:
[tex]v=4 m/s[/tex] is the speed of the water wave
[tex]f=\frac{10 waves}{30 s}=0.3 Hz[/tex] is the frequency of the water wave
Now, the speed of a wave is given by the following equation:
[tex]v=\lambda f[/tex]
Where [tex]\lambda[/tex] is the wavelength.
Isolating [tex]\lambda[/tex]:
[tex]\lambda=\frac{v}{f}[/tex]
[tex]\lambda=\frac{4 m/s}{0.3 Hz}[/tex]
Finally:
[tex]\lambda=12.12 m[/tex] This is the water wave wavelength