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A stationary boat in the ocean is experiencing waves from a storm. the waves move at 54 km/h and have a wavelength of 170 m . the boat is at the crest of a wave. part a how much time elapses until the boat is first at the trough of a wave?

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IsrarAwan
The answer is: 5.665 seconds

Explanation:
Given:
Speed = v = 54 km/h

Change it to m/s; therefore,
Speed = v = 54 / 3.6 = 15 m/s

Wavelength = λ = 170 m

Since
v = fλ

So f = v/λ

Plug in the values:
f = 15/170 = 3/34 Hz

Now time = 1/frequency

=> t = 1/(3/34) = 34/3 = 11.33s

The time should be half as the trough to crust distance as λ/2; therefore
t = 11.33/2 = 5.665s

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