Question about Velocity

For a worksheet, I have to deal with velocity. One of the questions is:

For the initial condition of velocity, there are three general cases possible. They are...

And I have no clue what it could be I have been looking in my notes and book for a while...any ideas?

These questions cast a bad light on your prof; you have to spend more time interpreting them than thinking about physics---

Possibly the 3 'conditions' of Vi are +, 0 and -.

For free fall the a vs t graph would be a horizontal line at -10 m/s². (It's constant, doesn't change with time)

Don't understand your use of the word 'role' in the rest of it.

Need more details, such as what else is on this worksheet?