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A fisherman notices that his boat is moving up and down periodically without any

ID: 1311530 • Letter: A

Question

A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 2.30s for the boat to travel from its highest point to its lowest, a total distance of 0.670m . The fisherman sees that the wave crests are spaced a horizontal distance of 5.50m apart.

How fast are the waves traveling?

Express the speed v in meters per second using three significant figures.

What is the amplitude A of each wave?

Express your answer in meters using three significant figures.

Explanation / Answer

Speed of wave= Distance between crest/2*time taken to travel from lowest to highest point

=5.50/2*2.30=1.196 m/s

Amplitude= 1/2 *Distance beteween highest and lowest point=0.5*0.670=0.335 m

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