Calculating Maximum Altitude and Time in Air for a Weather Rocket

[jdhutto]

Homework Statement

A 200kg weather rocket is loaded with 100 kg of fuel and fired straight up. It accelerates upward at 35.0 m/s^2 for 34.0 s, then runs out of fuel. Ignore any air resistance effects.

What is the rocket's maximum altitude?

How long is the rocket in the air?

Homework Equations

Kinematics

The Attempt at a Solution

I know i need to break the rocket into 2 sections and deal with each seperatly but I am not sure which equations to use and how to set them up?

 

[bugbug]

The mass is just extra data, you don't need to know it. Find how fast it is going after the fuels acceleration and then you can find out how high it goes and then you can add up the total time.

 

[jdhutto]

I think I understand that but what equations will help me get closer to the solution in each case?