
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 motorboat with an initial speed \( v_{0} = 5 \ \text{m/s} \) has its engine turned off. As it moves, the boat experiences water resistance, with the force of resistance being proportional to the square of the boat's speed. The proportionality coefficient is \( m / 50 \), where \( m \) is the mass of the boat. After what period of time will the boat's speed reduce by half, and what distance will the boat cover during this time?

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