
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 stone with a density of 2.1 is dropped into a lake that is 8.5 meters deep. How long will it take, and what will be the speed of the stone when it reaches the bottom of the lake? 

Note: The acceleration due to gravity should be taken as \( g = 980.8 \frac{\text{cm}}{\text{sec}^2} \).

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