
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
The equation $y = -16t^2 + 100t$ describes the height (in feet) of a projectile launched from the ground at 100 feet per second upward. Determine the time in seconds when the projectile first reaches 90 feet in height.

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