
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 is dropped from a tower with a height of $76 \mathrm{~m}$. At the moment it is dropped, a shooter standing at the base of the tower fires a bullet at the stone. The upper end of the rifle barrel is $2.1 \mathrm{~m}$ above the base of the tower, and the bullet has an initial speed of $65.6 \frac{\mathrm{m}}{\mathrm{sec}}$. When and at what height will the bullet hit the stone?

The acceleration due to free fall is $g=980.8 \frac{\mathrm{cm}}{\mathrm{sec}^{2}}$ (acceleration due to gravity in Budapest according to Gruber is $g=980.837 \frac{\mathrm{cm}}{\mathrm{sec}^{2}}$).

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