At 1680x1050 high-end GPUs handle the game with ease, however budget to mid-range cards like the GTX 750 Ti start to feel the heat when graphics settings are set to Ultra. Dropping the graphics to High gives a generous boost to mid-range cards and makes the game somewhat playable with Intel and AMD integrated graphics.
At 1920x1200, the $150 discrete GPUs barely make it through the 30fps barrier. The R9 270 delivered a playable 40fps, but you will need something faster for silky smooth frame rates at this resolution and Ultra graphics.
PlanetSide 2 becomes very taxing at 2560x1600, with even high-end graphics cards failing to meet the fps cap of 60fps except for the GeForce GTX 780.