Model Rocket Flight: Graphing Acceleration, Velocity, and Height

[you_of_eh]

A model rocket is launched with an upward acceleration, after t seconds it runs out of fuel at x height. Sketch the a vs. t, v vs. t, and position vs. t graphs for the rocket from the time of launch until the moment it reaches max height.

-I know that after the rocket runs out of fuel it will accelerate at 9.81m/s^2 down..other than that I'm having a hard time tackling this question.
-The graphs only have to be sketches (no numbers)
-I know this will be hard to answer in words..I just need a general idea of the shape and direction of the curve for each graph.

 

[mgb_phys]

What does the height/time curve look like before it runs out of fuel?
You can probably assume constant acceleration from the motor