
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 $F$ on a parachute varies jointly as the surface area $S$ of the parachute and the square of the drop speed $v$. The force on a $0.5$ square meter parachute is $2$ Newtons when the drop speed is $10$ meters per second. Determine the drop speed when the force on a $2$ square meter parachute is $32$ Newtons.
A) $20$ m/s
B) $25$ m/s
C) $30$ m/s
D) $35$ m/s
E) $40$ m/s

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