According to this answer:
During the 22nd century, standard Earth transporter systems had a range of 10,000 kilometers
In the Star Trek reboot, Scotty manages to transport himself and Kirk aboard the Enterprise while it's traveling at high warp.
If warp 1 is the speed of light (186,000 mi/sec), and the Enterprise is travelling at high warp, we can only assume it's moving several hundred times the speed of light.
So in the time it took Scotty's finger to depress the button to activate the transporters, the Enterprise has traveled some ridiculous distance I can't figure out in my head.
Can anyone tell me roughly how far Scotty beamed himself and Kirk?
I've listened to Scotty's explanation several times, but it's not really helped...