Mathematical & Physical Principles of Reconstruction Flashcards

What physical principle explains conservation of motion in crashes?

Answer: Conservation of momentum

The physical principle of conservation of momentum states that the total momentum of a system remains constant before and after a collision, assuming no external forces. In crash reconstruction, this principle is fundamental for analyzing how forces are transferred between vehicles and for calculating their speeds and directions before and after impact.

What equation estimates speed from skid marks?

Answer: S = √(30 × d × f)

The equation S = √(30 × d × f) is a standard formula used in crash reconstruction to estimate a vehicle's speed (S) based on the length of its skid marks (d) and the drag factor (f) of the road surface. This formula is a critical tool for determining pre-braking speeds and understanding crash dynamics.

What does Newton’s Second Law state?

Answer: Force equals mass times acceleration

Newton's Second Law of Motion states that force equals mass times acceleration (F=ma). This principle is fundamental in crash reconstruction for understanding how forces applied during an impact cause changes in a vehicle's motion, allowing investigators to calculate impact forces based on vehicle mass and observed acceleration or deceleration.

Why is drag factor important?

Answer: It influences deceleration rate

Drag factor is important because it represents the coefficient of friction between a vehicle's tires and the road surface, directly influencing the vehicle's deceleration rate. A higher drag factor indicates greater friction, leading to faster deceleration, which is a critical input for calculating speeds from skid marks in crash reconstruction.

What unit is acceleration typically measured in?

Answer: Feet per second squared

Acceleration is the rate at which an object's velocity changes over time. In the imperial system, commonly used in some reconstruction contexts, acceleration is typically measured in feet per second squared (ft/s²), precisely quantifying how much an object's speed changes each second.

What role does mass play in crash energy?

Answer: Increases kinetic energy

Mass plays a crucial role in crash energy because kinetic energy, the energy of motion, is directly proportional to an object's mass (KE = 1/2 mv²). Therefore, a greater mass at a given speed results in significantly more kinetic energy, which must be dissipated during a crash, leading to increased damage and forces.

How is kinetic energy calculated?

Answer: velocity / time

Kinetic energy (KE) is the energy an object possesses due to its motion, and it is calculated using the formula KE = 1/2 × mass × velocity². This equation demonstrates that kinetic energy is directly proportional to an object's mass and the square of its velocity. This calculation is fundamental in crash reconstruction for understanding the energy involved in an impact.

What is a projectile motion example in reconstruction?

Answer: Launched vehicle off roadway

Projectile motion describes the path of an object launched into the air under the influence of gravity. In crash reconstruction, a launched vehicle that becomes airborne after an impact or leaves the roadway and flies through the air is a classic example, allowing investigators to use physics principles to determine launch speeds and trajectories.

Which factor affects braking distance?

Answer: Road surface condition

Road surface condition significantly affects braking distance because it determines the amount of friction between the vehicle's tires and the road. Factors like wetness, ice, gravel, or dry asphalt directly influence the drag factor, which in turn dictates how effectively a vehicle can decelerate and thus its overall braking distance.