A blcycle racer sprints at the end of a race to dinch a victory. The racer has an initial velocity of $12\mathrm{.}5\frac{m}{s}$ and accelerates at the rate of $0\mathrm{.}550\frac{m}{s^2}$ for $7\mathrm{.}00s$

$($a$)$ What is his final velocity $($in $\frac{m}{s})?$

${16}_{?}$

$\frac{m}{s}$

$($b$)$ The racer continues at this velocity to the finish line. If he was $300m$ from the finish line when he started to accelerate, how much time $($in s$)$ did he save?

s$.$ distance $m$

time

$s$