Problem $2$: The height of a small rocket $y$ can be calculated as a function of time after blastoff with the following piecewise function:

$y,=38\mathrm{.}1454t+0\mathrm{.}13743t^3,0t<mn\; id="EditorElement\_2153335">1</mn><mn\; id="EditorElement\_2153336">5</mn>$

$y,=1036+130\mathrm{.}909(t-15)+6\mathrm{.}18425(t-15{)}^2,$

$,-0\mathrm{.}428(t-15{)}^3,15t<mn\; id="EditorElement\_2153443">3</mn><mn\; id="EditorElement\_2153444">3</mn>$

$y,=2900-62\mathrm{.}468(t-33)-16\mathrm{.}9274(t-33{)}^2,$

$,+0\mathrm{.}41796(t-33{)}^3,t>33$

Develop a well$-$structured pseudocode function to compute $y$ as a function of $t.$ Note that if the user enters a negative value of $t$ or if the rocket has hit the ground $)=(0$ then return a value of zero for $y.$ Draw a flowchart for this and provide a pseudocode. Do it by hand.