Where m is the inertial mass of the velocity, and T is the time from the initial state to the final state; the expression on the right of the equation being the limit as T goes to zero.
I think you are thinking about Kinetic Energy, which is a bit different. particle, vo is its initial velocity, v is its final That formula is probably what you meant, and that is given as:
So, yes, the faster you go, the harder you hit. Having a heavy car means that you hit harder; although the heavy car can absorb the impact by deformation (hopefully in a manner that protects the occupants).
Yeah, kinetic energy. That's the ticket.
If you have too much at the wrong time and place, your innards get all sticky.