
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
Due to the inertia, a car in motion needs to continue sliding forward for a certain distance after braking before it can stop. This distance is called the "braking distance." To test the braking performance of a certain model of small passenger car (with a speed not exceeding $140 km/h$), tests were conducted on this type of car, and the data obtained is as shown in the table below:

| Braking Speed $v$ ($km/h$) | $0$ | $10$ | $20$ | $30$ | $40$ | $50$ | $\ldots$ |
|-----------------------------|-----|------|------|------|------|------|----------|
| Braking Distance $s$ ($m$)  | $0$ | $2.5$| $5$  | $7.5$| $10$ | $12.5$| $\ldots$ |

Please answer the following questions:
1. In this changing process, the independent variable is ______, and the dependent variable is ______;
2. When the braking speed is $60 km/h$, the braking distance is ______ $m$;
3. Write down the relationship between the braking distance $s$ and the speed $v$ of this type of car based on the table above: ______;
4. In a traffic accident on the highway involving this model of car, the braking distance was measured to be $32m$. Estimate the speed of the car at the time of braking, and explain whether the car was speeding or driving at a normal speed at the time of the accident. (Relevant regulation: Article 78 of the "Road Traffic Safety Law": The maximum speed of small passenger cars on highways shall not exceed $120$ kilometers per hour.)

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