
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 \( m = 8002 \) grams is thrown at an angle \( \alpha \) to the horizontal with an initial speed \( v_{0} = 20 \) m/s. Given the presence of air resistance proportional to the stone's velocity (proportionality coefficient \( k = 0.2 \) N·s/m), and that the maximum height reached by the stone is \( h = 10 \) meters, and the work done by air resistance over this time period is \( A = 40 \) J, determine the acceleration of the stone at the highest point of its trajectory. The acceleration due to gravity is \( g = 10 \) m/s².

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