Police radar guns measure the speed of moving vehicles by transmitting electromagnetic waves at a vehicle and detecting a Doppler shift in the reflected wave. Suppose a police radar transmits at a frequency of 22.4 GHz and receives a wave reflected from a car moving toward the radar at 61.0 mph. Find the frequency shift  Δf = fO − fS  (in Hz) between the observed (received) and source (transmitted) frequencies.

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