
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
The height of a ball thrown upwards from the ground is a quadratic function of its time of motion. Two balls are thrown out one after another with a time interval of $2$ seconds. Assuming that the two balls are at the same height from the ground when thrown, and they reach the same maximum height from the ground $1.2$ seconds after being thrown. If the height of the first ball is the same as the height of the second ball in the air $t$ seconds after the first ball is thrown, calculate $t$.

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