
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 particle \\(M\\) moves in a straight line according to the law \\(s=2t^{2}+3\\) (Displacement unit: \\(cm\\), Time unit: \\(s\\)).

    \\((1)\\) When \\(t=2\\) and \\(\Delta t=0.01\\), calculate \\(\dfrac{∆s}{∆t} \\).

    \\((2)\\) When \\(t=2\\) and \\(\Delta t=0.001\\), calculate \\(\dfrac{∆s}{∆t} \\).

    \\((3)\\) Calculate the instantaneous velocity of particle \\(M\\) at \\(t=2\\).

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