
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 shot upwards from the ground with an initial speed of 96 feet per second. The height $y$ of the ball in feet after $t$ seconds is given by $y = -16t^2 + 96t$. Determine the time $t$, rounded to the nearest tenth of a second, at which the ball is first 36 feet above the ground.

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