Frequency of scream in cave


Assignment:

John and Sue are descending on ropes into a cave. Sue's rope breaks and she falls screaming past John. Apply doppler effect.

John, hanging stationary on a rope in an underground cave, hears Sue screaming with frequency f as she falls past him with constant terminal speed S= 53 m/sec. While she is above him, he receives her scream as frequency fA, and after she passes him he receives frequency fB, which is 96 cy/sec less than fA. Exactly t= 3.6 seconds after she passes him he hears the sound of her arrival as she splashes into a pool.

The velocity of sound is 345 m/sec.

Part a. Find the frequency f, of her scream.
Part b. How far below John is the pool?

Provide complete and step by step solution for the question, use formulas.

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