At rest, a car\'shorn sounds at a frequency of 385 Hz. Thehorn is sounded while

Question

At rest, a car'shorn sounds at a frequency of 385 Hz. Thehorn is sounded while the car is moving down the street. Abicyclist moving in the same direction with one-third the car'sspeed hears a frequency of 365 Hz. What isthe speed of the car?
1 m/s

Is the cyclist ahead of or behind the car? Please help, I amhaving trouble with this problem At rest, a car'shorn sounds at a frequency of 385 Hz. Thehorn is sounded while the car is moving down the street. Abicyclist moving in the same direction with one-third the car'sspeed hears a frequency of 365 Hz. What isthe speed of the car?
1 m/s

Is the cyclist ahead of or behind the car? Please help, I amhaving trouble with this problem At rest, a car'shorn sounds at a frequency of 385 Hz. Thehorn is sounded while the car is moving down the street. Abicyclist moving in the same direction with one-third the car'sspeed hears a frequency of 365 Hz. What isthe speed of the car?
1 m/s

Is the cyclist ahead of or behind the car? Please help, I amhaving trouble with this problem At rest, a car'shorn sounds at a frequency of 385 Hz. Thehorn is sounded while the car is moving down the street. Abicyclist moving in the same direction with one-third the car'sspeed hears a frequency of 365 Hz. What isthe speed of the car?
1 m/s

Is the cyclist ahead of or behind the car? Please help, I amhaving trouble with this problem At rest, a car'shorn sounds at a frequency of 385 Hz. Thehorn is sounded while the car is moving down the street. Abicyclist moving in the same direction with one-third the car'sspeed hears a frequency of 365 Hz. What isthe speed of the car?
1 m/s

Is the cyclist ahead of or behind the car? Please help, I amhaving trouble with this problem At rest, a car'shorn sounds at a frequency of 385 Hz. Thehorn is sounded while the car is moving down the street. Abicyclist moving in the same direction with one-third the car'sspeed hears a frequency of 365 Hz. What isthe speed of the car?
1 m/s

Is the cyclist ahead of or behind the car? Please help, I amhaving trouble with this problem

Explanation / Answer

       Original frequency, n = 385Hz         Apparent frequency, n' =365 Hz         Speed of the sound, V =343 m/s         Speed of the car, Vs =?         Speed of the bicyclist,Vo = ( Vs / 3 )         Apparent frequency, n' =[ ( V + Vo ) / ( V + Vs ) ] n         ( 365 / 385 ) = [ 343 +( Vs / 3 ) ] / ( 343 + Vs )          0.948 ( 343 + Vs )= ( 1029 + Vs ) / 3          975.55 + 2.844 Vs= 1029 + Vs          1.844 Vs =53.45           Velocity ofthe car, Vs = 28.99 m/s            Thecyclist is traveling behind the car

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