
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:

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

where \( B \) is the aerodynamic force coefficient, 
\( S \) is the area of the sail \( S = 7 \, \text{m}^2 \),
\( \rho \) is the air density,
\( v_{0} \) is the wind speed \( v_{0} = 6.3 \, \text{m/s} \),
and \( v \) is the speed of the sailboat.

At a certain moment in time, the instantaneous power of the wind reaches its maximum value. What is the speed of the sailboat at this moment?

Given:
\[ v_{0} = 6.3 \, \text{m/s} \]

Find:
\[ v(t') - ? \]

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