
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 $y = -4.9t^2 + 7.2t + 8$ describes the height (in meters) of a ball thrown upward at $7.2$ meters per second from $8$ meters above the ground, where $t$ is the time in seconds. Additionally, air resistance causes a deceleration given by $-0.6t$. Determine 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}
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