
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 the velocity of an object in free fall, $v=gt$ ($g$ is the acceleration due to gravity), determine the distance the object travels from $t=0$ to $t=t_{0}$.

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