Consider a car crash where a $1000$ kg car is travelling South at $23\mathrm{.}5\frac{m}{s}$ and a $2000$ kg van is travelling West at $17\mathrm{.}5\frac{m}{s}.$ They collide at an intersection and their vehicles stick together. What is the direction $($Blank $1)$ and magnitude $($Blank $2)$ of the velocity of the wreckage after the collision, if the vehicles undergo a perfectly inelastic collision $($that is$,$ they stick together$).$

$($Use Conservation of Momentum only.$)$

Blank # $1$ A

Blank # $2$ A