Originally Posted by
Quacky That's right, but I realise that I'd misread your question.
If it's the distance that you're looking for, then you need to find how high up the rocket travelled (this can be read off of the graph, but it's obviously far better to use calculus to find the maximum of the graph, and then subtract the initial height), then you need to find the distance down it travelled (this is just the height of the maximum) and add those together.
Using the graph is inferior to calculus, but it does illustrate the problem. Have an attempt using calculus and see how you go.