Consider the parametrized curve below: r$($t$)=(9$t$^(2),2$t$,$ t$^(2)$ t$)0$ t $3($a$)$ Suppose the curve describes the position of an object at time t$.$ Find the velocity v$($t$)$ of this object in terms of t v$($t$)=(,,)($b$)$ Find a parametrization of the tangent line to the curve r$($t$)$ when t $=1.$ Use the parameter w for the tangent line$$s parametrization. IMPORTANT: Make sure you specify the components of L$($w$)$ and the range of the parameter w L$($w$)=($x$($w$),$ y$($w$),$ z$($w$))=(,,)$ with $$ w $$