A bat flying at $5\mathrm{.}20$ m$/$s is chasing an insect flying in the same direction. The bat emits a $39\mathrm{.}9-$kHz chirp and receives back an echo at $40\mathrm{.}5$ kHz$.($Take the speed of sound in air to be v $=343$ m$/$s$.)$

$($a$)$ What is the speed of the insect?

m$/$s

$($b$)$ Will the bat be able to catch the insect?

YesNo$$