
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, the square of the velocity $(V)$ of the wind, and directly as the density $(D)$ of the air. The pressure on a square meter is $2.5$ newtons when the velocity is $10$ meters per second and the air density is $1.2$ kg/m³. Determine the velocity of the wind in meters per second when the pressure on a square decimeter is $1$ newton and the air density is $1.5$ kg/m³.
**A)** $56 \text{ m/s}$
**B)** $56.57 \text{ m/s}$
**C)** $60 \text{ m/s}$
**D)** $57 \text{ m/s}$

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