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An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was 84 feet. What is the speed of the vehicle before the brakes are applied?

Answer :

Final answer:

The length of the skid marks left by a vehicle can be used to estimate its speed before the brakes are applied using the formula Speed = √(2μgd), where μ is the coefficient of friction, g is the acceleration due to gravity, and d is the length of the skid marks.

Explanation:

The length of the skid marks left by a vehicle can be used to estimate its speed before the brakes are applied. This can be done using the physics concept of work and energy. The work done by the braking force is equal to the change in kinetic energy of the vehicle. The formula is:

Work = μmgd

Where μ is the coefficient of friction between the tires and the road, m is the mass of the vehicle, g is the acceleration due to gravity, and d is the length of the skid marks.

To calculate the speed of the vehicle before the brakes are applied, we can rearrange this equation:

Speed = √(2μgd)

Plugging in the given values, we can find the speed of the vehicle.

Learn more about Calculating Vehicle Speed from Skid Marks here:

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