
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
Given that a particle $M$ is undergoing linear motion on a plane, and the relationship between displacement $S$ (unit: $m$) and time $t$ (unit: $s$) can be represented by the function $S=\ln \left(t+1\right)+2t^{2}+1$, calculate the instantaneous velocity of particle $M$ at $t=2s$.

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