Write the code to compute $v$ for $t=-5$ to $50$ at increment of $0\mathrm{.}5.$ You only have to compute this $v.$ Don't worry about anything else.

Problem$1$: Piecewise functions are sometimes useful when the relationship between a dependent and an independent variable cannot be adequately represented by a single equation. For example, velocity of a rocket might be described by

$v(t)=\{\begin{array}{cc}11t^2-5t,& 0t10\\ 1100-5t,& 10t20\\ 50t+2(t-20{)}^2,& 20t30\\ 1520e^{-0\mathrm{.}2(t-30)},& t>30\\ 0& \text{o}\text{t}\text{h}\text{e}\text{r}\text{w}\text{i}\text{s}\text{e}& \end{array}$

Develop a well$-$structured flowchart and pseudocode $($Optional: you can also try to make a function$)$ to compute $v$ as a function of $t.$ Then use this information to generate a table of $v$ versus $t$ for $t=-5$ to $50$ at increments of $0\mathrm{.}5.$ What is the maximum velocity of the rocket based upon the table you developed and at what time does that occur. Boit by hand.

Script $0$