Going fast isnt the problem - it's the stopping quick that causes the issues.
In seriousness, as others have said, speed isnt really the issue. It's people's lack of awareness and the incompetence of the majority to actually drive a vehicle. I would say it's likely most of us take pride in the quality of our driving and I know i am pretty much constantly on the ball when in the car. Planning, hazard perception, situational awareness are all things that i notice the generic driver in their stupid, poor vis Nissan Juke are lacking. They have their own little bubble, their own agenda and with that comes selfish and ignorant driving. They don't look around, think about how things are ABOUT to develop.
That...in my opinion is why accidents happen.