video editing is a bind and all the specs they give are always too low. editing eats memory or ram, 2gb is ok but not enough. The cpu needs to be quad core as well.
And dont go cheap it will be a waste, however this is the spec you need to look at and I would increase ram to 4gb, not that dear.
"Graphics or video card:
Video card or video driver that supports Microsoft DirectX 9.0c (or later) and Pixel Shader 2.0 (or later). For DirectX 9 hardware on Windows 7, go to Windows Update.
To determine the DirectX version that your video card supports, use the Microsoft DirectX Diagnostic Tool.
To open the DirectX Diagnostic Tool in Windows 7, click the Start button The Start button, type dxdiag in the search box, and then, in the list of results, click dxdiag. Click the Display tab, and then look at the value for DDI Version. To open the DirectX Diagnostic Tool in Windows 8 or Windows 8.1, tap or click StartWindows logo key in the lower-left corner of the screen, start typing dxdiag, and then click dxdiag in the list of results. Click the System tab, and then look at the value for DirectX Version. Additional required programs: Photo Gallery and Windows Media Player "
good luck, I am doing a bit of editing on a HD movie with 32gb of ram and a 2gb graphics and quad core processor and its a nightmare.
one other point when they are editing tell them to clear memory of everything possible as a load of stuff runs in the background.