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Two sailors are trying not to get seasick as their ship plows through waves on the ocean. They notice the ship bobs up (crest), back down again (trough), and back up (next crest) every 4 seconds.If the speed of these waves relative to the ship is 3 m/s, how far apart are the wave crests (in meters)?

Question

Two sailors are trying not to get seasick as their ship plows through waves on the ocean. They notice the ship bobs up (crest), back down again (trough), and back up (next crest) every 4 seconds.If the speed of these waves relative to the ship is 3 m/s, how far apart are the wave crests (in meters)?

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Solution

To solve this problem, we need to use the formula for the speed of a wave, which is:

Speed = Wavelength / Period

We know the speed of the wave is 3 m/s and the period (time for one complete cycle, from crest to crest) is 4 seconds. We need to find the wavelength, which is the distance between the crests.

Rearranging the formula to solve for wavelength gives us:

Wavelength = Speed * Period

Substituting the given values into the formula:

Wavelength = 3 m/s * 4 s = 12 m

So, the distance between the wave crests is 12 meters.

This problem has been solved

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