
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 a speed of $5$ meters per second from a height of $10$ meters above the ground. The equation of the motion of the ball, considering gravity as $9.8 \text{ m/s}^2$, is given by $y = -4.9t^2 + 5t + 10$. Determine the time in seconds when the ball will hit the ground. Express your answer as a common fraction.

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