"Speed itself does not kill or injure"
Actually that's the thing that does kill you. You are injured by force exerted on you. The rate of change in momentum is the force on you. Momentum is worked out by your (speed x mass) so therefore if you start at a higher speed you have a greater change of momentum.
This is the same principles crush structures & airbags use to save you. They increase the time the accident takes to happen and thus reduce the rate of change of momentum, thus reducing force.
You can reduce the force in two ways, decreasing the change of momentum (going at a lower speed) or increasing the time it takes to change (crush structures & airbags)
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