Momentum is a vector quantity defined as the product of mass and velocity ($p=mv$), necessitating precise directional analysis during calculation. The Principle of Conservation of Momentum asserts that in a closed system, the total momentum before an event equals the total momentum after, a fundamental law governing collisions and explosions. Advanced application links Newton's Second Law to the rate of change of momentum ($F = \Delta p / \Delta t$), providing the theoretical basis for impact safety features such as crumple zones and airbags by analyzing the relationship between force, time, and impulse.
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