A curling stone A of mass 2m2m2m is sliding on a frictionless horizontal ice sheet and collides with a stationary curling stone B of mass 3m3m3m.
Immediately after the collision, stone A is moving with velocity v1v_1v1 at an angle of 30∘30^\circ30∘ to its original direction of motion, and stone B is moving with velocity v2v_2v2 in a direction perpendicular to the final velocity of stone A.

What is the value of the ratio v1v2\frac{v_1}{v_2}v2v1? Round your answer to one decimal place.