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

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. Do it by hand.