A police officer's radar gun emits radio waves at a frequency of 11.1 GHz. Assume that the cars are both headed directly away from the stationary officer.
Use $c = 3.000 \times 10^8 m/s$ for the speed of light and 1 mph = 0.44704 m/s.
What is the magnitude $\Delta f$ of the difference in the frequencies reflected back to the radar gun by a car traveling at the 80 mph speed limit and a car travelling 1 mph faster?
$\Delta f = \text{____} Hz$