Car died while driving down the road. It only clicks once when trying to start. on 2004 Hyundai Tiburon

While driving down the road, my daughter's car died. She was traveling around 55 mph. When I got there she had full power, but when you try and start it, it only clicks like once and thats it.

Sounds like a dead battery that was not being charged by a failed alternator. The fuel injection system needs the alternator to work or it will drain the battery very fast. Have a qualified shop check this out.
If the battery was dead, wouldn't the lights and all accessories be unable to work? She had full power (radio, lights, a/c).
It takes way less power to turn on lights than it does to crank the engine.
I put the battery on a charger overnight. It acted like it wanted to turn over a little more, but still didn't kick over. I took the battery up and had it tested. He told me it was a 700 amp but was putting out 723. So the battery is good. What should I check next?
i have a 2003 2.0l and it just started dooing the same thing and i think it is the alternator but wanna see if anyone else has had this issue and figured it out before i spend 250 on a rebuilt alt.
so if anyone can help i would appreciate it.

so far i have changed batteries and after it runs for abit it wont restart till i boost it but still has lots of power to run stereo and lights and blower motor etc but when i goto start it all i get is abunch of clicking
1 more answer
oh my gosh thats the same thing that happened to me. did you find out what was wrong with it.