
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 force with which the airflow acts on the sail can be calculated using the formula:

\[ F=\frac{A S \rho\left(v_{0}-v\right)^{2}}{2} \]

where \( A \) is the aerodynamic force coefficient, \( S \) is the sail area \( S = 4 \, \text{m}^2 \), \( \rho \) is the air density, \( v_{0} \) is the wind speed \( v_{0}=4.8 \, \text{m/s} \), and \( v \) is the speed of the sailing vessel. At some point in time, the instantaneous power of the wind reaches its maximum value. What is the speed of the sailboat at this moment?

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