
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
The engines of a rocket launched vertically upward from the Earth's surface provide the rocket with an acceleration of $30 \mathrm{~m} / \mathrm{s}^{2}$. Thirty seconds after launch, the engines suddenly stop working. 

1. What is the maximum height that the rocket will reach?
2. Can this rocket pose a danger to an object located at an altitude of 50 km?

Ignore air resistance and assume the acceleration due to gravity is $10 \mathrm{~m} / \mathrm{s}^{2}$.

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