
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 juggler throws two balls vertically upward at intervals of 0.7 seconds with an initial velocity of $14.56 \frac{\mathrm{m}}{\mathrm{sec}}$. After how much time and at what height do the balls meet, and at what speed do they collide?

Note: The acceleration due to gravity is $g=980.8 \frac{\mathrm{cm}}{\mathrm{sec}^{2}}$.

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