A bat flies toward a moth at speed 8.0 m/s while the moth is flying toward the bat at speed 5.0 m/s. The bat emits a sound wave of 51.35 kHz. What is the frequency of the wave detected by the bat after it reflects off the moth?
This is the mother of all doppler problems. First, the sound is source shifted by the bat's 8.0 m/s, then observer and source shifted as it reflects from the moth's 5.0 m/s, and finally the bat is a moving observer to the reflected waves.: