
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
Given the relationship between the height $h$ (unit: meters) of a certain kind of fireworks above the ground and the time $t$ (unit: seconds) is given by the formula $h=-3.6t^{2}+28.8t$, determine the moment when the fireworks burst after shooting up.

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