I just went through the code and it is indeed pretty trivial to remove both restrictions. If you want to do it, in the iPhoneTrackingAppDelegate implementation file:

* Change the precision variable on line 149 to something bigger than 100 (10000 did it for me) - this will mark points in the map with higher precision:

  const float precision = 10000;

* Change the timeBucket variable on line 180 to change the date precision (the app currently gives you weekly based data, but it can go as far a data point every second). You could also just "cheat" and change the notion of weekInSeconds:

  const float weekInSeconds = (7*24*60*60);