CAR COMPLETELY SHUT DOWN WITH NO POWER AT STOP LIGHT. REAR ENDED BY ANOTHER VEHICAL TRAVELING AT APPRX. 45 MPH. NO PRIOR WARNING OF ANY BATTERY ISSUES OR ANY OTHER TROUBLE LIGHTS. INJURIES SUSTAINED. CAR ONLY HAD 75,000 MILES ON ODOMETER AND HAD BEEN WELL MAINTAINED. CAR WAS STOPPED AT RED LIGHT ON CRAIG RD. AND DURANGO IN LAS VEGAS NEVADA WHEN FAILURE OCCURED. TWO FEMALE OCCUPANTS BOTH WITH MINOR INJURIES, ONE TRANSPORTED TO HOSPITAL