
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
Two water droplets fall freely one after another from a $300 \mathrm{~m}$ high cliff. The first droplet has already fallen $\frac{1}{1000} \mathrm{~mm}$ when the second one starts falling.

How many millimeters apart will the two droplets be at the moment the first one reaches the base of the cliff? (The result should be calculated to an accuracy of $\frac{1}{10} \mathrm{~mm}$. Air resistance, etc., should not be taken into account.)

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