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At rest a car horn sounds the note A (440 Hz). The horn is sounded while the car is moving at a velocity v. A

At rest a car horn sounds the note A (440 Hz). The horn is sounded while the car is moving at a velocity v. A bicycle is moving in the same direction as the car, but with a velocity of v/3 and hears the horn with apparent frequency of 415 Hz. The speed of sound in air is 345 m/s.

(a) Is the bicycle in front of or behind the car?

(b) What is the speed of the car?

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