
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
Two bodies simultaneously start from the same point: one with a velocity \( v_{1} = 5t \, \text{m/s} \), and the other with a velocity \( v_{2} = 3t^{2} \, \text{m/s} \). What distance will they be apart from each other after \( 20 \, \text{s} \) if they move in a straight line in the same direction?

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