A fisherman sees his boat moving up and down, owing to waves on the water. It takes 2.5 s for the boat to travel from its highest to lowest point, a distance of 0.62 m. The fisherman sees that the wave crests are spaced 6 m apart. How fast are the waves traveling?

Respuesta :

Answer:

The waves are traveling in a speed of

v=1.20 m/s

Explanation:

The fisherman see a wave at 6m apart so that's the wavelength

[tex]L=6m[/tex]

Now the period is the time between two successive waves so

[tex]t=2*2.5s=5s[/tex]

The velocity of the waves is describe by:

[tex]v=f*L[/tex]

[tex]f=\frac{1}{t}=\frac{1}{5s}=20s^{-1}[/tex]

[tex]v=0.20s^{-1}*6m[/tex]

[tex]v=1.20 \frac{m}{s}[/tex]