
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. At what $t$ will the projectile reach 64 feet in height for the first time?

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