I have an '03 Corolla with about 87k miles on it. I just bought it a while ago and everything on it seems to run perfect. Recently I've been a bit conscious of how I drive and accelerate and noticed that the gas pedal is a bit stiff (slightly). I decided to see if its just my shoes and took them off while driving. Surprisingly it felt a lot easier to accelerate but still there is a slight pushback. Is it me or do I have to check this and if I do how much would this cost me?
I wouldn't worry too much unless it gets worse. Every car's throttle response is different, I've had some that have been really light and others not (clutches are often worse...). I don't know if the corolla uses a cable or an electronic throttle, but if it's the former you could try disconnecting the engine end of the cable and making sure it slides freely - If it doesn't, you can lubricate the cable to free it off (drip a light machine oil onto the inner cable and slide the cable up and down its full range of motion a few times to work the oil down it.)
Driving without shoes can be easier, you have a lot more feeling through the sole of your foot than through a shoe, particularly if you have stiff shoes...