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?

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 = f λ

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