
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 small ball is vertically ejected from the ground. The relationship between the height above the ground $\left(m\right)$ and the time $\left(s\right)$ after ejection is given by $h=15t-5t^{2}$. The maximum height of the ball above the ground is ______ $m$.

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