
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 new type of airplane, during a speed test flight, flew over the marked $378.6 \text{ km}$ distance between two lines with a time difference of 693.5 seconds. What was its speed? - What are the possible speed limits considering the exact length of the distance may deviate by up to 30 meters and the time difference by up to 1.5 seconds? - How does the first result change considering the plane was flying at an altitude of $10 \text{ km}$? (Assume the Earth's radius to be $6370 \text{ km}$.)

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