Answer : Average distance is 10 m.
Explanation :
It is given that,
Average velocity of the wave, [tex]v=2.5\ m/s[/tex]
Time, [tex]T=4\ s[/tex]
So, frequency [tex]\nu=\dfrac{1}{T}=\dfrac{1}{4}\ Hz[/tex]
We know that the average distance between the wave peaks is called as wavelength.
The relation between the wavelength, frequency and the time period is :
[tex]\lambda=\dfrac{v}{\nu}[/tex]
[tex]\lambda=\dfrac{2.5\ m/s}{\dfrac{1}{4\ s}}[/tex]
[tex]\lambda=10\ m[/tex]
So, the average distance between the wave peaks is 10 m.
