A detector initially moves at constant velocity directly

Chapter , Problem 80

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A detector initially moves at constant velocity directly toward a stationary sound source and then (after passing it) directly from it. The emitted frequency is f. During the approach the detected frequency is f, app and during the recession it is f, rec. If the frequencies are related by (f, app $ f, rec)/f # 0.500, what is the ratio vD/v of the speed of the detector to the speed of sound?

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