Indeed ground reaction force was misprint on my behalf Sharmer, thank you for catching that. As for the dorsiflexion, you already know that a 90 degree angle between applied force and a rotating lever (say a wrench) provides the maximum moment arm and, as a result, the highest torque at the axis of rotation.
You also know (from tensile and compression forces) that, regarding the ankle, by mitigating the differential between rotation between the point of ground contact and the point of toe-off requires less time (due to less compression and subsequent expansion) then the ankle having to rotate further upon ground contact (due to being plantar flexed) prior to toe-off.
It’s a question of deformation to the Achilles/gastroc. Dorsiflexion reduces the distance the achilles/gastroc shortens upon making ground contact, thus the overall distance of shortening and re-lengthening is less in comparison to when the ankle is plantar flexed, in which the achilles/gastroc is pre-shortened prior to GCT, thus it must lengthen and shorten again prior to toe-off thereby experiencing greater deformation (compression and expansion).
Because of this, the lengthened/pre-stretched achilles/gastroc, by way of dorsiflexion, creates a longer moment arm at the achilles/gastroc and minimizes the conversion time of muscle lengthening and shortening during ground contact and increases stored elastic energy.
Clearly we do not have prescriptions as to (dorsiflex the ankle to _______ degrees prior to ground contact) however, the physics of what’s happening is clear enough to distinguish between what is happening during dorsal and plantar flexion prior ground contact, the variance in length of moment arm, and why none of us are able to provide a video link of a sub 9.8sec 100m man who points his toes prior to ground contact.
In fact, biomechanical research on cheetah’s reinforces the value of the lengthened moment arm of the gastroc in regards to greater joint torque than greyhounds:
study link: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3077520/
In the distal limb, the majority of muscles were of a similar mass in both species but, when grouped by function, cheetahs had significantly larger muscle mass for tarsal flexion, digital flexion and digital extension. The gastrocnemius muscles had a similar mass in both species, but the cheetahs had longer fascicles and therefore a smaller PCSA. Despite this, the elongated calcaneus in the cheetahs provides the gastrocnemius with a longer moment arm at the tarsus enabling it to generate much larger joint torques than in the greyhounds (Fig. 7B). The gastrocnemius is a biarticular muscle also functioning to flex the stifle (where we also see an elongated moment arm in the cheetah; Fig. 7B). This muscle is active during the stance phase when the tarsus and stifle flex (Goslow et al. 1973, 1981) and acts to resist the large ground reaction force joint moment that exists at the tarsus (Colborne et al. 2006).
High quality slow motion cheetah footage (note the position of the phalanges prior to ground contact): https://youtu.be/NuyeVN7PuTM