After turning into a parking lot and VERY slowly turning right to enter a designated parking space my 2014 Jeep Grand Cherokee suddenly, with no warning or prompting, highly accelerated forward causing the Jeep to jump up over the curb, ran over a bush which lifted the left side front tire off the ground, continued high acceleration forward making an immediate and abrupt stop colliding into an eletrical power pole at the right front end, both airbags deployed. This happen in a moment's time with no time to react, distance from acceleration to impact with electrical pole approximately 12 feet. No passengers, the driver received contusions and abraisions. 911 was called, local city police responded & report written, Ambulance called to assist injured driver, tow truck transported Jeep to requested Body Shop, Insurance company notified. Jeep released from Body Shop transported by Insurance Company for Inspection. Had the accleration not stopped due to collision with power pole the vehicle would have entered and crossed a 5 lane main street against traffic directions at a stoplight which could have resulted in many collisions and injuries to other motorists. Insurance company has totaled the vehicle and unknown if inspection(s) have been completed by all interested parties. Owner/Driver has not been notified of any further inspection results.