Two cars collide at an intersection. Car AA$,$ with a mass of $2000$ kgkg$,$ is going from west to east, while car BB$,$ of mass $1500$ kgkg$,$ is going from north to south at $14$ m$/$sm$/$s$.$ As a result of this collision, the two cars become enmeshed and move as one afterwards. In your role as an expert witness, you inspect the scene and determine that, after the collision, the enmeshed cars moved at an angle of $60$ south of east from the point of impact.

How fast were the enmeshed cars moving just after the collision?

Express your answer in meters per second.

How fast was car AA going just before the collision?

Express your answer in meters per second.