
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

Two cars are traveling on two mutually perpendicular roads towards the same intersection at constant speeds. Initially, the first car was at a distance of $s_{1} = 500$ meters from the intersection, and the second car was at a distance of $s_{2} = 700$ meters from the intersection. The speed of the first car is $v_{1} = 36$ km/h. At the moment when the first car reached the intersection point, the distance between the cars was $s = 100$ meters. Determine the speed of the second car. (15 points)

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