
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
A bullet enters a plank with a thickness of 10 cm at a speed of \(200 \, \text{m/s}\), and exits the plank, having penetrated it, at a speed of 50 m/s. Find the duration of the bullet's passage through the plank, assuming the resistance of the plank to the bullet's motion is proportional to the square of its speed.

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