The captain starts the engines and sails directly opposite the motion of the waves at \(4.5 \mathrm{~m} / \mathrm{s}\). Now how much time elapses between one crest reaching your ship and the next?

A. \(3 \mathrm{~s}\)

B. \(5 \mathrm{~s}\)

C. \(7 \mathrm{~s}\)

D. \(12 \mathrm{~s}\)

Water waves are called deep-water waves when the depth of the water is much greater than the wavelength of the wave. The speed of deep-water waves depends on the wavelength as follows:

Suppose you are on a ship at rest in the ocean, observing the crests of a passing sinusoidal wave. You estimate that the crests are \(75 \mathrm{~m}\) apart.

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