A Woman Is Riding a Bicycle at 18

question 63

Short Answer

A woman is riding a bicycle at 18.0 m/s along a straight road that runs parallel to and right next to some railroad tracks.She hears the whistle of a train that is behind.The frequency emitted by the train is 840 Hz,but the frequency the woman hears is 778 Hz.Take the speed of sound to be 340 m/s.
(a)What is the speed of the train,and is the train traveling away from or toward the bicycle?
(b)What frequency is heard by a stationary observer located between the train and the bicycle?

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Definitions:

Dispersion

The measure of how spread out or scattered values are in a data set, indicating the variability or inconsistency in the data.

Standard Deviation

A statistical measure of the dispersion or variation in a set of values, indicating how much the values differ from the average.

Sampling Distribution

The probability distribution of a given statistic based on a random sample, often used to make inferences about the population.

P-bar Formula

A statistical technique used in quality control to determine the proportion of defective items in a batch or process.