A man runs a $200.m$ long race. He accelerates for $2\mathrm{.}00s$ to reach a velocity of $12\mathrm{.}0\frac{m}{s}.$

A$.$ If his initial velocity was $5\mathrm{.}00\frac{m}{s},$ How far did he travel as he accelerated?

B$.$ What was his acceleration during $2\mathrm{.}00s$ time?

C$.$ For the remainder of the race he runs at $12\mathrm{.}0\frac{m}{s}.$ What is the total time it took to complete the $200\mathrm{.}0m$ race?