
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that the structural mass of a certain single-stage rocket is twice the mass of the propellant, and the maximum speed of the rocket is $10km/s$, determine the jet speed of the rocket engine using the formula $v={v_0}•ln\frac{{{m_1}+{m_2}}}{{{m_1}}}$, where $m_{1}$ and $m_{2}$ represent the structural mass of the rocket and the mass of the propellant, respectively.

Present the answer in LaTex format: \boxed{Your answer}
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