x$($t$)=$ v$($t$)$ cos $\backslash$theta $($t$),$

y$($t$)=$ v$($t$)$ sin $\backslash$theta $($t$),$

$\backslash$theta $($t$)=\backslash$omega $($t$)$

Show that V$<0$ for the chosen control inputs. Show all the steps in the math.