Rocket Project - need to find mass of rocket to reach 15 m altitude

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Rocket Project -- need to find mass of rocket to reach 15 m altitude

I have a project for grade 11 physics, i have to create a rocket that reaches precisely 15 m altitude, and all I am given is the thrust profile of the engine (force(N) vs time(s) graph)

It is an Estes A8-5 engine

i have used calculus to integrate and find the impulse, which is 2.50N*s, total burn time is 0.7s

im stuck, i can't find the mass without the acceleration, i can't find the acceleration without the final velocity after burn.

ive tried everything i can think of, even energy problems, can't seem to figure it out.
 
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What exactly are you supposed to come up with? Mass of rocket?

Final velocity is zero, right, if it's supposed to go just 15m? And is that miles or meters?
 
A critical question is whether you need to take into account the reduction in fuel mass during ascent. If so, you need to develop and solve the differential equation for a rocket. Otherwise, energy should be the way. you know the total energy the rocket delivers, and you know the height to be reached.