I think you should just ask, "How do I improve my tack sprint?" As a blank slate with no preconceptions.
Regarding tire pressure: Remember that every 100M or so, you add extra G-forces to the tires. Your weight is multiplied by a factor of your speed. I've read that Derny Racers (who ride at crazy speeds for a long time) wear double chamois to deal with the forces creating saddle sores.
There is an optimal pressure range for a given weight of a rider. Don't forget to factor in added weight made by the turns.