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Compute the all parts of given problem:

Problem: A railroad train is traveling at 29.0 m/s in still air. The frequency of the note emitted by the locomotive whistle is 490 Hz. (Assume the speed of sound in air is 344 m/s.)

Part I: What is the wavelength of the sound waves in front of the locomotive?

Part II: What is the wavelength of the sound waves behind the locomotive?

Part III: What is the frequency of the sound heard by a stationary listener in front of the locomotive?

Part IV: What is the frequency of the sound heard by a stationary listener behind the locomotive?

Please show all work so I can fully understand all concepts! Thanks.

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