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From a vantage point very close to the track at a stock car race, you hear the sound emitted by a moving car. You detect a frequency that is 0.86 times as small as the frequency emitted by the car when it is stationary. The speed of sound is 343 m/s. What is the speed of the car?

Respuesta :

Answer:

55.8 m/s

Explanation:

[tex]f[/tex] = Actual frequency of sound emitted by car

[tex]f'[/tex] = frequency observed when the car moves = [tex](0.86)f[/tex]

[tex]V[/tex] = Speed of sound = 343 m/s

[tex]v[/tex] = Speed of car

Frequency observed is given as

[tex]f' = \frac{Vf}{V+v}[/tex]

[tex](0.86) = \frac{(343)}{343 + v}\\(0.86) = \frac{(343)}{343 + v}\\294.98 + (0.86) v = 343 \\v = 55.8 ms^{-1}[/tex]

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