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6. Anna, Bob, and Carlos are all in a very large but shallow swimming pool. Carlos is at the center of the pool and decides to hop up and down, generating outgoing ripples (which you can think of as circularly symmetric 2 dimensional waves over the surface of the water). Carlos completes one jump every 2 seconds. At Anna's location, she measures the amplitude of the waves to be 0.08 m and measures the distance between peaks to be 8 m. At his location, Bob measures the amplitude as 0.04 m. a) Determine the wavelength, frequency f, and speed of the ripples. b) Anna notices that every time the ripples are peaked at her location, there are two more peaks between her and Carlos, and there is a trough at Carlos's location. Determine the farthest possible and shortest possible distances between Anna and Bob. When Anna is at a peak, is Bob at a peak, a trough, or someplace in-between?

6. Anna, Bob, and Carlos are all in a very large but shallow swimming pool. Carlos is at the center of the pool and decides to hop up and down, generating outgoing ripples (which you can think of as circularly symmetric 2 dimensional waves over the surface of the water). Carlos completes one jump every 2 seconds. At Anna's location, she measures the amplitude of the waves to be 0.08 m and measures the distance between peaks to be 8 m. At his location, Bob measures the amplitude as 0.04 m. a) Determine the wavelength, frequency f, and speed of the ripples. b) Anna notices that every time the ripples are peaked at her location, there are two more peaks between her and Carlos, and there is a trough at Carlos's location. Determine the farthest possible and shortest possible distances between Anna and Bob. When Anna is at a peak, is Bob at a peak, a trough, or someplace in-between?

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6. Anna, Bob, and Carlos are all in a very large but shallow swimming pool. Carlos is at the center of the pool and decides to hop up and down, generating outgoing ripples (which you can think of as circularly symmetric 2 dimensional waves over the surface of the water). Carlos completes one jump every 2 seconds. At Anna's location, she measures the amplitude of the waves to be 0.08 m and measures the distance between peaks to be 8 m. At his location, Bob measures the amplitude as 0.04 m. a) Determine the wavelength, frequency f, and speed of the ripples. b) Anna notices that every time the ripples are peaked at her location, there are two more peaks between her and Carlos, and there is a trough at Carlos's location. Determine the farthest possible and shortest possible distances between Anna and Bob. When Anna is at a peak, is Bob at a peak, a trough, or someplace in-between?
Transcribed Image Text:6. Anna, Bob, and Carlos are all in a very large but shallow swimming pool. Carlos is at the center of the pool and decides to hop up and down, generating outgoing ripples (which you can think of as circularly symmetric 2 dimensional waves over the surface of the water). Carlos completes one jump every 2 seconds. At Anna's location, she measures the amplitude of the waves to be 0.08 m and measures the distance between peaks to be 8 m. At his location, Bob measures the amplitude as 0.04 m. a) Determine the wavelength, frequency f, and speed of the ripples. b) Anna notices that every time the ripples are peaked at her location, there are two more peaks between her and Carlos, and there is a trough at Carlos's location. Determine the farthest possible and shortest possible distances between Anna and Bob. When Anna is at a peak, is Bob at a peak, a trough, or someplace in-between?
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