
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 small cart with a jet engine is positioned on rails. The rails are laid out in the shape of a circle with radius \( R = 5 \) meters. The cart starts from rest, and the jet force has a constant value. What is the maximum speed the cart can reach after completing one full circle, given that its acceleration during this time should not exceed \( a = 1 \, \mathrm{m/s}^2 \)?

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