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

$5$

$0$

$$at increments of

$0$

$.$

$5$

$.$

$$What is the maximum velocity of the rocket based upon

the table you developed and at what time does that occur.