Answer:
12 m/s
Explanation:
Standing waves are waves that are formed between two fixed points in space, so they cannot propagate, but they are just oscillations about a fixed points. Examples of standing waves are the waves in a string.
The relationship between wavelength, frequency and speed of a wave is given by the wave equation:
[tex]v=f \lambda[/tex]
where
v is the speed of the wave
f is its frequency
[tex]\lambda[/tex] is its wavelength
For the standing wave in this problem we have:
f = 3 Hz is the frequency of the wave
[tex]\lambda=4 m[/tex] is the wavelength
Solving for v, we find the velocity of the wave:
[tex]v=(3)(4)=12 m/s[/tex]
