
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 $(P)$ exerted on a sail varies jointly as the area $(A)$ of the sail and the cube of the velocity $(V)$ of the wind. When the area of the sail is $1$ square foot and the velocity of the wind is $10$ miles per hour, the pressure on the sail is $1$ pound. Determine the velocity of the wind when the pressure on a square foot is $64$ pounds.
A) $80 \text{ mph}$
B) $40 \text{ mph}$
C) $100 \text{ mph}$
D) $20 \text{ mph}$

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