
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 \( y = -6.1t^2 + 7t + 10 \) represents the height (in meters) of a projectile launched upwards at \( 7 \) meters per second from \( 10 \) meters above the ground, where \( t \) is time in seconds. Determine the time in seconds when the projectile will hit the ground, and express your answer as a common fraction.

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