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Verified Answer :

It takes the wave 5 seconds to traverse 2m. Divide 2 by 5, 0.4m/s

Answer:

0.4 m/s

Explanation:

The frequency of the wave is equal to the reciprocal of the period:

\(f=\frac{1}{T}=\frac{1}{5s}=0.2 Hz\)

For a wave, wavelength, speed and frequency are related by the following equation:

\(v=f\lambda\)

where

v is the speed of the wave

f is the frequency

\(\lambda\) is the wavelength

For the water wave in this problem, \(f=0.2 Hz\) and \(\lambda=2 m\), so the speed of the wave is

\(v=f\lambda=(0.2 Hz)(2 m)=0.4 m/s\)