Momentum is mass multiplied by velocity so the SI unit is kg*m/s; there is no shorter way to write this unit. Mass is directly relational to momentum and inversely related to velocity. Therefore a fast but light ball might have the same momentum as a heavy but slow ball. In a more life-related example, if a deer from Nara, Japan takes a running start and attempts to tackle a gigantic but rather slow moving bear, the deer and bear may still have the same momentum if their m*v are the same.
Momentum is a vector because velocity is also a vector. Although there is a another sort of momentum besides linear, the other will always be specified as angular momentum. If unspecified, it is to be assumed that the material is referring to linear momentum.
(This formula is rather reminiscent of Newton's 2nd Law....)
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