Degrees of Freedom and Motion Path
1. The number of independent parameters that can describe the position or state of the body in space are termedas degree of freedom.
2. A ball joint has three degrees of restrain (i.e. all the three lateral motions), its cannot move in this directions but is free to rotate in all the three axis and thus has three degrees of freedom in total.
3. Yes, five links are necessary to provide five degrees of restraint in suspensions.