Question

A bat moving at 5 meters per second is chasing a flying insect, if the bat emits a 40 khz chirp and receives back an echo at 40.4 khz what is the speed of the insect and will the bat be able to catch the insect?
fo = fs (1+vo/v)/(1+vs/v)
40 = 40.4 (1+5/343)/(1+vs/343)
I get about 8.5 so the bat dies of hunger.

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