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21 February, 08:35

The security alarm on a parked car goes off and produces a frequency of 813 Hz. The speed of sound is 343 m/s. As you drive toward this parked car, pass it, and drive away, you observe the frequency to change by 72.1 Hz. At what speed are you driving?

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  1. 21 February, 08:49
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    You are driving at Vo = 15.2 m/s = 54.72 km/h

    Explanation:

    Δf = 72.1 Hz

    f = 813 Hz

    v = 343 m/s

    Δf = f * [ (v - (-vo) / v) - (v - (vo) / v) ]

    clearing vo:

    Vo = 15.2 m/s
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