Question

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.

Answer 1

`v_s = 245.55 m/s`

Step-by-step 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

`f = f_0((V)/(V-v_s))`

`880 = 250* ((343)/(343-v_s))`

`880(343-v_s)= 250* 343`

`880* v_s = 343(880-250)`

`v_s = (343(880-250))/(880)`

`v_s = 245.55 m/s`