An evil supervillian has launched a missle from his/her submarine. The missle's height, in meters above sea level, as a function of time, $\displaystyle {t}$, in seconds, is given by
$\displaystyle {h}{\left({t}\right)}=-{4.9}{t}^{{2}}+{162}{t}+{225}$

Find the time it takes for the missle to reach it's maximum height. Round your answer to three decimal places.
seconds.

What is the maximum height? Round your answer to three decimal places.
meters