
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]


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At the opening of a $152 \mathrm{~m}$ deep pit, an object is thrown vertically upward with an initial velocity of $29 \mathrm{~m/s}$. After how many seconds must another object be dropped from the same point into the pit so that both objects reach the bottom of the pit simultaneously ($g=9.8 \mathrm{~m/s^2}$)?

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