
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
The position *vs.* time graph for an object moving in a straight line is shown below. What is the instantaneous velocity at  $\text{t = 2 s}$ ?
[asy]
size(300);
// x-axis
draw((0,0)--(12,0));
// x-axis tick marks
draw((4,0)--(4,-0.2));
draw((8,0)--(8,-0.2));
draw((12,0)--(12,-0.2));
// x-axis labels
label("1",(4,0),2*S);
label("2",(8,0),2*S);
label("3",(12,0),2*S);
//y-axis
draw((0,-3)--(0,5));
//y-axis tick marks
draw((-0.2,-2)--(0,-2));
draw((-0.2,0)--(0,0));
draw((-0.2,2)--(0,2));
draw((-0.2,4)--(0,4));
// y-axis labels
label("-2",(0,-2),2*W);
label("0",(0,0),2*W);
label("2",(0,2),2*W);
label("4",(0,4),2*W);
// Axis Labels
label("Time (s)",(10,0),N);
label(rotate(90)*"Position (m)",(0,1),6*W);
//Line
draw((0,4)--(12,-2));
[/asy]

(a)  $-\text{2 m/s}$ (b)  $-\frac{1}{2} \ \text{m/s}$ (c)  $\text{0 m/s}$ (d)  $\text{2 m/s}$ (e)  $\text{4 m/s}$ 

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