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# A bat flying at 5.00 m/s is chasing an insect flying in the same direction. If the bat emits a 40.0-kHz chirp and receives back an echo at 40.4 kHz, (a) what is the speed of the insect? (b) Will the bat be able to catch the insect? Explain.

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In this problem, a bat flies with speed $v_\text{bat} = 5.0~\mathrm{m/s}$. It emits a chirp at frequency $f_{S} = 40~\mathrm{kHz} = 4.0 \times 10^{4}~\mathrm{Hz}$. The sound is reflected by a wall. We calculate the frequency of the echo observed by the bat.

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