
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 pressure $(P)$ of wind on a sail varies jointly as the area $(A)$ of the sail and the square of the velocity $(V)$ of the wind, so $P = kAV^2$ for some constant $k$. Given that the pressure on a square foot is $1$ pound when the velocity is $16$ miles per hour, and that the velocity of the wind when the pressure on a square yard is $36$ pounds is:

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