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At rest, a car’s horn sounds the note A (440 Hz). The horn is sounded while the car is moving down the street. A bicyclist moving in the same direction with one-third the car’s speed hears a frequency of 415 Hz. (a) Is the cyclist ahead of or behind the car? (b) What is the speed of the car?

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gilcarusolautaro

Answer:

(a): The cyclist is behind the car.

(b): The speed of the car are Vf= 31.97 m/s.

Explanation:

f= 440 Hz

f'= 415 Hz

Vo= 1/3 Vf

Vf= ?

V= 343.2 m/s

f'= f* ( (V-(-Vo) / (V-(-Vf) )

clearing Vf :

Vf= 31.97 m/s

Vo= 10.65 m/s

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