The track for the power seat may need to be replaced if the seat rocks when the vehicle accelerates or slows down.Google+
Car Problem Reports
Dodge Ram 1500 Power Seat May Rock Due to Seat Track Issue
Dodge Ram 1500 Problem
Average Mileage: 125,750 mi (59,000 mi - 187,000 mi)
Same rocking problem before I had seat replaced
Electric seat on drivers side rocks
Visitor, 2004 Dodge Ram 1500, 100,000 mi
driver seat rocks back and forth
Visitor, 2002 Dodge Ram 1500, 80,000 mi
The Front Driver seat (powered) of 2002 Dodge Ram 1500 rocks when accelerating and decelerating.
Visitor, 2002 Dodge Ram 1500
Driver side seat rocks when accelarating and slowing. Took it to the dealership and they did nothing.
Visitor, 2004 Dodge Ram 1500, 146,000 mi
Power seat rocks when propelling forward or stopping. Try to ignore it.
Visitor, 2004 Dodge Ram 1500, 144,000 mi
No solution, just gotta deal with it for me.
Visitor, 2004 Dodge Ram 1500, 136,000 mi
Truck is in the shop not trying to fix my seat. Rocks about 5 degrees when accelerating or stopping. Very annoying.
Visitor, 2002 Dodge Ram 1500, 169,000 mi
Electric driver side seat "clicks" when accel or decel seems loose when that happens. No money to repair at this time.
Visitor, 2002 Dodge Ram 1500, 59,000 mi
Seat base is loose.