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 3.00 for the boat to travel from its highest point to its lowest, a total distance of 0.700 . The fisherman sees that the wave crests are spaced 7.80 apart. A) How fast are the waves traveling? B) What is the amplitude of each wave? C) If the total vertical distance traveled by the boat were 0.500 , but the other data remained the same, how fast are the waves traveling ? D) If the total vertical distance traveled by the boat were 0.500 , but the other data remained the same, what is the amplitude of each wave?

Explanation / Answer

a) The waves are moving at 6.0/2.5 metres per second. b) The amplitude is half the displacement, 0.31 metres. c) Wave speed: no change. Amplitude: same, half the displacement, but 0.15 metres this time.

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