In the deep ocean, a water wave with wavelength 95 m travels at 12 m / s . Suppo

Question

In the deep ocean, a water wave with wavelength 95 m travels at 12 m/s. Suppose a small boat is at the crest of this wave, 1.3m above the equilibrium position.
What will be the vertical position of the boat 4.0s later? Express your answer to two significant figures and include the appropriate units.

What will be the vertical position of the boat 4.0s later? Express your answer to two significant figures and include the appropriate units.
What will be the vertical position of the boat 4.0s later? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Apply x = Acos(wt)

From v = f(wavelength)

12 = f(95)

f = .126 Hz

Multiply by 2pi rad/rev and get = .794 rad/s

x = (1.3)(cos(.794)(4))

x = -1.3 m (Meaning 1.3 m below the equilibrium position

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