Explanation:
The depth d of the water (in meters) and the velocity v of the wave (in meters per second) are related by the equation as:
[tex]v=9.8d[/tex]
We need to find the water's depth is a a wave formed in shallow water has a velocity of 4.5 m/s.
So,
[tex]d=\dfrac{v}{9.8}\\\\d=\dfrac{4.5}{9.8}\\\\d=0.459\ m[/tex]
Hence, if the wave formed in shallow water has a velocity of 4.5 m/s, then the water's depth is 0.459 m.