As other answers have alluded to, there are a number of challenges and errors which will or may be encountered when trying to get fast GPS positioning / logging with 'real' accuracy @ >1Hz. You CAN get 10Hz modules, but you may or rather will have more noise. There are also limits placed upon consumer GPS modules in terms of speed and altitude but it does not seem you would / will be approaching these.
Personally, I would combine an IMU with your GPS data, using the GPS updates for absolute position and IMU to generate the intermediate points / positioning data. You can achieve a very acceptable level of accuracy for most applications this way, along with additional data. This is commonly how a number of applications achieve fast update - and military applications as alluded to will not rely solely on the GPS alone, since GPS can be jammed quite easily, in which case where other tracking systems are unavailable the 'vehicle' (whatever it is), will rely upon calculations from last known fix, using tech like or same as the IMU.
EDIT: - Just realized this Q is a year old - well, hope this helps someone :)