Max Shutter speed
Fujifilm X-T1 can shoot continuously at max speed of 8 fps
and has max shutter speed of 1/4000 sec
. X-T1 also has an electronic shutter which can shoot silently at max speed of 1/32000s
. One thing to keep in mind is that electronic shutter may cause rolling shutter / jello effects, and also banding issues under artificial light on your images.
Unfortunately X-T1 doesn't have a built-in flash but it has a flash shoe for mounting external flashes.
Fujifilm X-T1 features both Contrast Detection and Phase Detection autofocus (AF) systems which ensures speed and accuracy of focusing in most situations.
Fujifilm X-T1 also features Face detection AF
where it intelligently detects the faces in the frame and locks the focus automatically.