A stationary observer hears a fire-engine siren at a frequency of

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Waves Sound and Physical Optics · Waves Sound and Physical Optics

Problem

A stationary observer hears a fire-engine siren at a frequency of 770 Hz770\,\text{Hz}. The rest frequency of the siren is 700 Hz700\,\text{Hz}, and the speed of sound in air is 340 m ⁣⋅ ⁣s−1340\,\text{m}\!\cdot\!\text{s}^{-1}. Assuming the engine moves directly along the line joining it and the observer, what is the magnitude of the engine’s speed? (a) 34 m ⁣⋅ ⁣s−134\,\text{m}\!\cdot\!\text{s}^{-1} toward the observer (b) 31 m ⁣⋅ ⁣s−131\,\text{m}\!\cdot\!\text{s}^{-1} away from the observer (c) 31 m ⁣⋅ ⁣s−131\,\text{m}\!\cdot\!\text{s}^{-1} toward the observer (d) 24 m ⁣⋅ ⁣s−124\,\text{m}\!\cdot\!\text{s}^{-1} toward the observer

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