Answered

4. A water wave is described by the graphs below.
a. Which way is the wave traveling?
b. What is the wavelength of the wave?
c. What is the period of the wave?
d. What is the speed of the wave?
e. What will be the vertical position of the surface of the water at horizontal location x=10m at time t=2 seconds, 4 seconds, 6 seconds, 8 seconds?

4 A water wave is described by the graphs below a Which way is the wave traveling b What is the wavelength of the wave c What is the period of the wave d What i class=


Answer :

Answer: At t = 2 seconds: The wave has traveled half a period, so the crest will be at x = 10m. Therefore, the vertical position of the surface of the water at x = 10m at t = 2 seconds will be at its maximum height, which corresponds to the crest.

At t = 4 seconds: One complete cycle has occurred, so the wave will be at the same position as it was at t = 0 seconds. Therefore, the vertical position of the surface of the water at x = 10m at t = 4 seconds will be at its maximum height, which corresponds to the crest.

At t = 6 seconds: The wave has traveled one and a half periods, so the trough will be at x = 10m. Therefore, the vertical position of the surface of the water at x = 10m at t = 6 seconds will be at its minimum height, which corresponds to the trough.

At t = 8 seconds: Two complete cycles have occurred, so the wave will be at the same position as it was at t = 0 seconds. Therefore, the vertical position of the surface of the water at x = 10m at t = 8 seconds will be at its maximum height, which corresponds to the crest.

Explanation: