$1.$ A very fast runner was able to run a $100$ m within $9\mathrm{.}77$s$.$ At the end of $3\mathrm{.}00$ s he reached his maximum speed and then maintained that speed until the finish line. Find his acceleration during the first $3\mathrm{.}00$ s$.$

$2.$ Plot the $($a$)$ distance vs time t and $($b$)$ velocity time t in problem $1.($use excel or python$)$