
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 upward with an initial velocity of $7$ meters per second from a height of $10$ meters above the ground. The equation for the height $y$ of the ball in meters as a function of time $t$ in seconds is given by $y = -4.9t^2 + 7t + 10$. Determine the time in seconds when the ball will hit the ground, expressing the answer as a common fraction.

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