
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
A stone with mass $m = 6002$ grams was thrown at an angle $\alpha$ to the horizontal with an initial speed $v_{0} = 20 \ \text{m/s}$. Considering the presence of air resistance proportional to the speed of the stone (proportionality coefficient $k = 0.1 \ \text{N} \cdot \text{s} / \text{m}$), the maximum height the stone reached was $h = 10$ meters. The work done by the air resistance force during this time was $A = 30$ Joules. Determine the acceleration of the stone at the highest point of its trajectory. The acceleration due to gravity is $g = 10 \ \text{m/s}^{2}$.

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