Observer wrote:
JT wrote:
Of course there are a few other factors:
1. Your car will get damaged more if you resist the impact using your brakes (the energy has to go somewhere). In an extreme case this could cause deformation of the "safety cell" you are sat in, which might be worse than enduring the acceleration of a "free rolling" impact. That said, in a collision of that sort of severity the brakes wouldn't resist the impact anyway.
2. It ain't quite so good for the guy behind. If you resist accelerating then he has to decelerate more. In other words if it's less violent for you it is more violent for him, as you are effectively making your car into a harder object to hit.
Aha - so it's not so simple then. If the energy to be dissipated is 'shared' between the crumple zones of three vehicles (the one which shunts me, mine, and the one ahead of me), which will be the case if acceleration is not constrained by hand/parking brake, then there is less risk of injury to me (and the person behind). Not so happy for the occupants of the car ahead of me, of course, who may have been unaffected if my brakes had been applied.
So where's the cross-over point?
In general I'd say there isn't one - at least not from the "selfish" perspective of the "shuntee".
Let's say the car behind is doing 20mph. It will hit you with a fair old bang, and with your brakes off I'd expect you'll get jolted forwards quite violently. With your brakes on this will clearly be diminished, more of the energy will be dissipated by deformation of the vehicles, and risk of a secondary collision with another vehicle in front will be reduced.
So what if the car behind were travelling a lot faster? Clearly there reaches a point where the crumple zones alone cannot dissipate all of the energy, and it will start to deform the passenger cell(s) too. But in this situation you are talking about a pretty huge amount of momentum, which will more than overcome the retardation of the brakes of the vehicle in any case. In short I wouldn't expect the brakes to turn a non-passenger-cell-deforming accident into a deforming one.
To look at it another way, we know that the limit of traction of your average car's tyres is somewhere in the region of 1g, therefore using the brakes has the capability of reducing the impact felt by about that amount. For example, if the car behind shunting you would have caused your vehicle to momentarily accelerate at 3g then clamping the brake pedal to the floor would reduce that to 2g, and so on.
As regards the vehicle in front, I don't think shunting forwards into them is ever a good thing. As an example, imagine a car behind hitting an equal mass stationary one at 40mph. With no brakes applied, and no dissipation of energy both vehicles would now be travelling at 20mph. If there were a further vehicle in front then the middle vehicle would now have a secondary 20mph impact with them, but still with the full initial momentum, as there would now be the mass of both moving vehicles involved. So in terms of acceleration, the middle car has now received an initial strike absorbing half the initial momentum, then a secondary one involving the
full initial momentum. If we take the alternate case of keeping the middle vehicle stationary then we "just" have one single full momentum collision.
I know this makes an unrealistic assumption - ie that no energy is dissipated by the collision - but I think it illustrates the point, that the secondary impact would be a very severe one, and indeed would be taking place with a car that is [presumably] already damaged from the first one.