Find the domain of the vector$-$valued function $r(t)=t^{2}i+\frac{1}{t}j+\sqrt[\phantom{2}]{1-t}k.$

$($A$)(-,)$

$($B$)(-,1]$

$($C$)(-,1)$

$($D$)(-,0)(0,1]$

$($E$)$ Other