Car B weighing 2420 lb and traveling west at vg = 55 mi/hr collides with car A weighing 2770 lb and traveling north at VA = 29 mi/ hr as shown. If the two cars become entangled and move together as a unit after the crash, compute the magnitude v of their common velocity immediately after the impact and the angle made by the velocity vector with the north direction.

Car B weighing 2420 lb and traveling west at vg = 55 mi/hr collides with car A weighing 2770 lb and traveling north at VA = 29 mi/ hr as shown. If the two cars become entangled and move together as a unit after the crash, compute the magnitude v of their common velocity immediately after the impact and the angle made by the velocity vector with the north direction.