
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 $y = -3.7t^2 - 20t + 70$ describes the height (in meters) of a ball thrown downward with an initial velocity of 20 meters per second from a height of 70 meters above the surface of Mars. Determine the duration in seconds before the ball hits the ground. Round your answer to the nearest hundredth.

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