so whatever physics you're talking about, you're probably approaching it completely wrong and not looking at the runner and ground as a closed system (minus things like wind etc)
Once the runner is at full speed, there is only ONE thing that can slow them down, that is deceleration from striking the ground. This is minimized by making sure the foot strikes the ground at rest, i.e. moving backwards relative to the body at the same speed the body is moving forward relative to the ground.
That's almost all there is to it - except that, the faster that speed is, the less time the body has to counter the vertical forces on impact. The faster you're going, the stiffer your springs have to be, as it were.
That's the main reason bounce-shoes are bunk - you're actually prolonging your footstrike, attaching a spring to a spring so there is more displacement which takes more time.
Simplest and most effective model for good form is to run like a wheel - all parts of a wheel are moving forward except the part in contact with the ground. So it should be with your feet.