Doppler effect from bungee jumping physicist · CAP 2003 #23

Physics

Problem

For the sake of science a physicist jumps attached to the end of a bungee cord, carrying sound measuring equipment. As he swings up and down vertically with a period of 6.0 s, he monitors the frequency of a sound source on the ground directly below him, and observes a difference of 84 Hz between the maximum and minimum frequency of the source. If the source emits at a constant 1370 Hz, and assuming no significant attenuation of his oscillations over the duration of the measurements, the amplitude of his oscillations is closest to (a) 10 m; (b) 20 m; (c) 32 m; (d) 15 m.

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