Calculating Maximum Altitude and Time in Air for a Weather Rocket

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To calculate the maximum altitude and time in the air for a 200kg weather rocket with 100kg of fuel, the rocket accelerates upward at 35.0 m/s² for 34.0 seconds before running out of fuel. The first step involves determining the rocket's velocity at the end of the fuel burn using kinematic equations. After fuel depletion, the rocket will continue to ascend until it reaches its peak altitude, where its velocity becomes zero. Finally, the total time in the air includes both the fuel burn duration and the time taken to descend back to the ground. Proper application of kinematic equations is essential for solving these aspects of the rocket's flight.
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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?
 
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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.
 
I think I understand that but what equations will help me get closer to the solution in each case?
 

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