A bat flying at $5\mathrm{.}35\frac{m}{s}$ is chasing an insect flying in the same direction. The bat emits a $39\mathrm{.}8-kHz$ chirp and receives back an echo at $40\mathrm{.}3$ kHz $.($Take the speed of sound in air to be $v=343\frac{m}{s}.)$

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

$\frac{m}{s}$

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

Yes

No

Explain.