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

$v(t)=10t^2-5t,026$

$0$ otherwise

Here, time is in seconds, and velocity is in $f\frac{t}{s}.$

Write a script to calculate and then plot the velocity of this rocket as a function of time. The code must include the following:

Create a time vector with a user$-$determined number of points between $-5$ and $50.$

Output of a velocity vector calculated for the times in the time vector

Plot the velocity as a function of time using the MATLAB command plot. Use the MATLAB help system to figure out how to use this command. Be sure to include axis labels on your plot $($use help system to figure this out as well$).$