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A particular car engine produces a frequency of 250 Hz. A student listening to the engine of the car hears a frequency of 880 Hz. Describe the motion of the car relative to the student.

Respuesta :

Answer:

[tex]v_s = 245.55 m/s[/tex]

Explanation:

given,

car engine produce frequency of = 250 Hz

student is listening frequency of = 880 Hz

speed of sound = 343 m/s

velocity of student = 0 m/s (at rest)

motion of car relative to student = ?

using formula

[tex]f = f_0(\dfrac{V}{V-v_s})[/tex]

[tex]880 = 250\times (\dfrac{343}{343-v_s})[/tex]

[tex]880(343-v_s)= 250\times 343[/tex]

[tex]880\times v_s = 343(880-250)[/tex]

[tex]v_s = \dfrac{343(880-250)}{880}[/tex]

[tex]v_s = 245.55 m/s[/tex]

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