
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 cube of the velocity $(V)$ of the wind. If the pressure on $2$ square feet is $8$ pounds when the wind velocity is $4$ miles per hour, find the velocity of the wind when the pressure on half a square yard is $4.5$ pounds.
A) $2.5$ mph
B) $3.0$ mph
C) $2\frac{7}{15}$ mph
D) $1.75$ mph

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