Auto >> AutoSPT >  >> Engine

How fast is a car going to leave skid mark of 88 meters?

The formula for calculating the speed of a car based on the length of a skid mark is:

```

Speed = √((2 * g * d) / f)

```

Where:

* Speed is the velocity of the car in meters per second.

* g is the acceleration due to gravity (approximately 9.8 meters per second squared).

* d is the length of the skid mark in meters.

* f is the coefficient of friction between the tires and the road surface.

In this case, we are given that the length of the skid mark is 88 meters. Assuming a coefficient of friction of 0.7 (a typical value for dry asphalt), we can calculate the speed of the car as follows:

```

Speed = √((2 * 9.8 * 88) / 0.7)

= √(1724.8 / 0.7)

≈ 52.3 meters per second

```

Converting meters per second to kilometers per hour, we get:

```

Speed = 52.3 * (18 / 5)

≈ 188.2 kilometers per hour

```

Therefore, the car was going approximately 188 kilometers per hour when the skid mark was made.