Why is my car not accelerating in mid stride?

When I take off from a complete stop, the car will go fine then all of a sudden it just stop feeding fuel, so the RPM's just die off, I let off the gas, and then accelerate again it goes, but now it will not even let me accelerate at all, the RPM's do not go past 1. Changed fuel pump, it still is cutting out, and the engine light is coming on. So, I can not pull out infront of any traffic, because it won't let it feed any gas to the line or something. No smoke, or funny smells, just not accelerating on a steady pace.