
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 ball is thrown vertically with an initial velocity of 100 feet per second from a height of 30 feet. Additionally, a steady wind adds an extra 5 feet per second to the height for each second the ball has been in the air. What is the maximum height of the ball?
Express the height \( h \) in terms of the time \( t \) as \( h(t) = -16t^2 + 100t + 30 + 5t \).

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