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

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 2.90s for the boat to travel from its highest point to its lowest, a total distance of 0.610m . The fisherman sees that the wave crests are spaced a horizontal distance of 6.50mapart.

Part A

How fast are the waves traveling?

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

Part B

What is the amplitude A of each wave?

Express your answer in meters using three significant figures.

Explanation / Answer

a)

It is given the time it takes to move through half the period i.e from highest to lowest point .so

T=2*2.9 =5.8 s

Wavelength

lambda=6.5 m

Speed of Wave

V=lambda/T =6.5/5.8

V=1.12 m/s

b)

It is said that amplitude is twice,so Amplitude of each wave

A=0.61/2

A=0.305 m

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