As will be seen in FIGURE$-2,$

a $1500kg$ car traveling east with a speed of $25\mathrm{.}0\frac{m}{s}$ collides at an intersection with a $2500kg$ truck traveling north at a speed of $20\mathrm{.}0\frac{m}{s}.$

Please find the direction and magnitude of the velocity of the wreckage after the collision, assuming the vehicles stick together after the collision.

Hint: Apply the isolated system model for momentum in the $x-$direction, $p_x=0,$ and $y-$direction, $p_y=0.$

Take ArcTan$(\frac{4}{3})=53$ and Sin$(53)=0\mathrm{.}80.$

FIGURE$-2$ Collision at an intersection.

Answer $2.$