1995 Ford Mustang acceleration trouble

Car starts and idles perfectly. It accelerates normally while gradually increasing speed, however, the problem is when I aggressively accelerate. The car bogs down and acts like theres no fuel to make it go. As soon as I get off the pedal it responds again as normal. I can drive it all day as long as I dont "get on it". I have already replaced the fuel filter and wonder if it is a sensor of some sort. Occassionally the check engine light appears but goes off a short time later. Thanks.