
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 $70 \mathrm{~kg}$ water skier is being pulled by a motorboat at a constant speed of $40 \mathrm{~km/h}$. The towing rope is subjected to a force of $400 \mathrm{~N}$. How far will the water skier glide after releasing the rope, if the minimum speed needed to stay on the surface is $10 \mathrm{~km/h}$? (Assume that the braking force is proportional to the square of the speed.)

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