
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 stands on rails. The rails are laid in the shape of a circle with a radius \( R \). The cart starts from rest, with the jet force being constant. To what maximum speed will the cart accelerate in one full circle, given that its acceleration during this time should not exceed the value \( a \)?

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