
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 chain hanging on a smooth hook slips downward. At the start of the motion, 10 meters of the chain hang on one side of the hook, and 8 meters hang on the other side. Ignoring resistances, find: 1) the time it takes for the entire chain to slip off the hook, and 2) the speed of the chain at the initial moment of its free fall.

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