Question

Two truckers are traveling directly away from each other at the same speed. If one trucker sounds her horn at a frequency of 221 Hz, and the other trucker hears a frequency of 210 Hz, determine the speed of the trucks. Use the speed of sound as 343 m/s.

Answer 1

v = 8.8 m /s

Step-by-step explanation:

For listener and source going away from each other the formula of Doppler effect is as follows

`(f)/(f_0) = (V-v)/(V+v)`

V is velocity of sound , v is velocity of listner and source of sound

f₀ is apparent frequency and f is real frequency

V = 343 , v = ? ,f = 210 , f₀ = 221

Put these value in the relation above

`[tex](210)/(221) = (343-v)/(343+v)`[/tex]

v = 8.8 m /s