Force Diagrams

Last class, we came to a consensus that in force diagrams, there are equal forces with an object pushing on the earth and the earth pushing back that result in the object staying at rest, or have a velocity of 0.  In a force diagram where the object is moving from rest, it's the same diagram as one at rest but with another force exerted by another object, such as the mallet from the bowling ball activity.  But there's one thing everyone couldn't seem to agree on: how a force diagram would look if the object was not starting at rest (already moving).  Would there be another arrow on the diagram to show it?  Would it just not be included?  The idea that made the most sense to me was to add a note stating the initial velocity to show that it would increase after being affected by whatever force was being exerted upon in the diagram because the initial velocity is useful/ necessary information, especially if you're creating graphs or motion maps from this data.