$[$Using Geogebra:$]$ The altitude $($in metres$)$ attained by an object t seconds into flight is given

by the function

h$($t$)=$

$385\mathrm{.}474$

t $+2\mathrm{.}520\mathrm{.}214($t$10)$

$7,0<=$ t $<=55$

Use Geogebra to find the maximum height of the object by following the steps below:

$.$ Open a new Geogebra CAS, then define h$($t$)$ and h

$0$

$($t$).$

$.$ Find the critical points of h$($t$).$

$.$ Evaluate the function h at the critical points.

$.$ Determine the absolute maximum value of h$.$

$.$ Save a screenshot of your work. Title it as Question $8,$ and submit the screenshot with your

assignment.