
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
An object is moving towards a converging lens with a focal length of \( f = 10 \ \mathrm{cm} \) along the line defined by the two focal points at a speed of \( 2 \ \mathrm{m/s} \). What is the relative speed between the object and its image when the object distance is \( t = 30 \ \mathrm{cm} \)?

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