How much greater is the force of collision if the driving speed is doubled?

The force of a collision is related to the speed of the vehicle squared. This relationship arises from the basic physics principle that kinetic energy, which is the energy of motion, increases with the square of speed. When you double the speed of a vehicle, the kinetic energy—and consequently the force of impact—does not simply double; it actually increases by a factor of four.

To understand this, consider that if the initial speed is represented as 'v,' then when the speed is doubled, it becomes '2v.' The kinetic energy before the collision at the speed 'v' is proportional to ( v^2 ), and when doubled, the new kinetic energy is proportional to ( (2v)^2 ), which simplifies to ( 4v^2 ). Thus, the new force in a collision, which is derived from this kinetic energy, will be four times greater compared to the collision force at the original speed.

This principle underscores the importance of driving at safe speeds, as higher speeds significantly increase the consequences of collisions, both in terms of force and potential damage.