A fisherman notices that his boat is moving up and down periodically, owing to w

Question

A fisherman notices that his boat is moving up and down periodically, owing to waves on the surface of the water. It takes 2.9 s for the boat to travel from its highest point to its lowest, a total distance of 0.57 m . The fisherman sees that the wave crests are spaced 5.4 m apart.

How fast are the waves traveling?

What is the amplitude of each wave?

If the total vertical distance traveled by the boat were 0.40 m , but the other data remained the same, how fast are the waves traveling ?

If the total vertical distance traveled by the boat were 0.40 m , but the other data remained the same, what is the amplitude of each wave?

Explanation / Answer

frequency= 1/5.8 = 0.1724

Velocity = frequency x wavelength = 0.1724*5.4 = 0.93 m/sec

Amplitude = 0.57 meter

same as before V= 0.93 m/sec

Amplitude = 0.4 meter

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