
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
When the ball performs simple harmonic motion according to the equation $y=15sin({2t+\frac{π}{6}})$, where $y$ is the distance of the ball relative to the equilibrium position and $t$ is the time of motion, determine its velocity when the ball returns to the equilibrium position for the second time.

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