Car will not accelerate
I suspect that your fuel system is faulty. Check for a clogged fuel filter, or if your fuel pump don't run at all, replace the "fuel pump relay". Sometimes your fuel pump will run, but be too weak to hold pressure, which will let your car idle somewhat, but be too weak to run the engine at speed or under load.
If your car is getting fuel, then the igniton system is faulty. Things to check or replace in the order that I would check them are here: They are the coil, igniton module, cam and crankshaft sensors, map sensor. Your car may be out of time due to a broken timing belt/chain, or it may have been loose and jumped a few teeth on their cogs. Check engine timing and condition of belt. These are not all of the igniton components, but the most common items that go bad. The rest of the components and sensors shouldn't cause your car not to start, but affect driveabiliy.