#!/usr/bin/python3
# Trains Doppler shift
c = 1086.9 # speed of sound ft/sec
v = (40.0 * 5280.0)/(60 * 60) # train's velocity ft/sec
fs = 440 # Train's whistles (440 Hz)
def doppler_shift(v):
fr = fs * (1 / (1 + (v/c)))
print(f"Train's frequency : {fs:>.2f} Hz")
print(f"Train's velocity : {v:>.2f} ft/sec")
print(f"receiving frequency: {fr:>.2f} Hz")
print(f"Doppler shift : {(fr-fs):>.2f} Hz")
print()
print('moving away from the observer')
doppler_shift(v)
print()
print('moving away towards the observe')
doppler_shift(-v)