How to draw a qualitative a vs. t graph

[swimmer59]

how to draw a "qualitative a vs. t graph"

So basically, we just started learning about acceleration and my teacher gave us this worksheet but we haven't learned anything yet. it shows a sketch of a ball rolling down a hill. gives x0=0cm v0=o m/s. and the other sketch is a ball rolling down a hill but in the negative direction. so x0> 0cm and v0=0m/s.
there is no other info just what i gave.3. i know the x vs t graphs are a parabola and the v vs t graphs are a linear line. but i am confused what the a vs t graphs would look like.

 

[fss]

i know the x vs t graphs are a parabola and the v vs t graphs are a linear line. but i am confused what the a vs t graphs would look like.

A ball rolling down a hill (at the level you're learning) is basically in free fall. What do you know about objects in free fall- does their acceleration change?

 

[swimmer59]

no i believe they have a constant acceleration. right?

 

[fss]

Right. That's a major clue about the shape of the acceleration vs. time plot.