Two trains are traveling on the same track and in the same direction. the first train, which is behind the second train, blows a horn whose frequency is 269 hz. the second train detects a frequency of 290 hz. if the speed of the second train is 13.7 m/s, what is the speed of the first train?

37.545 m/s

Explanation:

f' = Actual frequency of horn = 269 Hz

f = Observed frequency of horn = 290 Hz

v = Speed of sound in air = 343 m/s

= Speed of second train = 13.7 m/s

= Speed of first train

From Doppler effect we have

The speed of the first train is 37.545 m/s

conduction, convection, radiation