
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 \(y = -4.9t^2 + 4t + 6\) describes the height (in meters) of a ball thrown upward at \(4\) meters per second from \(6\) meters above the ground, where \(t\) is the time in seconds. In how many seconds will the ball hit the ground? Express your answer as a common fraction.

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