?Doppler Effect A sound with frequency is produced by a source traveling along a line

Chapter 12, Problem 48

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Doppler Effect A sound with frequency  is produced by a source traveling along a line with speed . If an observer is traveling with speed  along the same line from the opposite direction toward the source, then the frequency of the sound heard by the observer is

where  is the speed of sound, about . (This is the Doppler effect.) Suppose that, at a particular moment, you are in a train traveling at  and accelerating at . A train is approaching you from the opposite direction on the other track at , accelerating at , and sounds its whistle, which has a frequency of . At that instant, what is the perceived frequency that you hear and how fast is it changing?

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