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 3.2 s for the boat to travel from its highest point to its lowest, a total distance of 0.58 m . The fisherman sees that the wave crests are spaced 5.4 m apart.

Part A

How fast are the waves traveling?

Express your answer with the appropriate units.

v =

Part B

What is the amplitude of each wave?

Express your answer with the appropriate units.

A =

Part C

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 ?

V =

Part D

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?

Express your answer with the appropriate units.

A =

Explanation / Answer

Period of periodic motion

A). V= Lf= 5.4/(2*3.2)

= 0.8438 m /s

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B). Amplitude= half of vertical distance= .58/2= 0.29 m

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C). Velocity remains constant, v= 0.8438 m/s

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D). d= 0.4/2= 0.2 m

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