Bats navigate and search out prey by emitting, and then
detecting reflections of, ultrasonic waves, which are sound waves
with frequencies greater than can be heard by a human. Suppose a
bat emits ultrasound at frequency 82.52 kHz while flying with
velocity 9.00 m/s as it chases a moth that flies with velocity 8.00
m/s. What frequency does the moth detect? What frequency does the
bat detect in the returning echo from the moth?