
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 particle is projected vertically upward and reaches, after $t$ seconds, a height $h$ feet given by the function $h = 180t - 18t^2$. Determine the particle's maximum height.
A) 450 feet
B) 900 feet
C) 800 feet
D) 350 feet

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