If a sound with frequency is produced by a source

Chapter 14, Problem 14.340

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If a sound with frequency is produced by a source traveling along a line with speed and 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 460 Hz. At that instant, what is the perceived frequency that you hear and how fast is it changing?

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