The formula for calculating stopping distance is:
```
Stopping Distance = (Speed^2) / (2 * Coefficient of Friction * Gravity)
```
Where:
* Stopping Distance is the distance required to bring the vehicle to a full stop in meters
* Speed is the initial speed of the vehicle in meters per second
* Coefficient of Friction is the coefficient of friction between the tires and the road surface
* Gravity is the acceleration due to gravity (9.8 m/s²)
If you increase the speed by 3 times, the Speed^2 term in the formula will increase by 9 times. Since all other factors remain the same, the Stopping Distance will increase by 9 times.
This means that if you drive 3 times faster, you will need 9 times the distance to come to a complete stop compared to driving at the original speed. Therefore, it is crucial to maintain a safe speed and be aware of the stopping distance required to avoid accidents.
