A man traveling on a bicycle at 10 m/s along a straight road that runs parallel to some railroad tracks. He hears the whistle of a train that is behind him. The frequency emitted by the train is 600 Hz, but the frequency the man hears is 558 Hz. Take the velocity of sound to be 340 m/s.
a.) What frequency is heard by a stationary observer located between the train and the bicycle.
b.) What is the speed of the train, and is the train traveling away from or towards the bicycle.