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 3.50s 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 6.40m apart.

How fast are the waves traveling?

What is the amplitude of each wave?

If the total vertical distance traveled by the boat were 0.500m , but the other data remained the same, how fast are the waves traveling ?

If the total vertical distance traveled by the boat were 0.500m , but the other data remained the same, what is the amplitude of each wave?

Explanation / Answer

c. Do you mean distance or displacement? If you mean displacement, then as the amplitude does not change the speed of a wave (only the time taken to carry out this displacement), the waves will travel at the same speed.
d. Assuming you mean displacement again, then the amplitude is, as in b, half of this value, which is 0.250m

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