Well, if all you are interested in is how long it takes for the jumper to reach the ground, then even with (a separable form of) air resistance it will be irrelevant how fast the plane was moving, and it will take just as long for the jumper to reach the ground as if he had been jumping from a tower at the altitude of the plane. Also, (with no air resistance) the energy of the jumper is divided into a constant kinetic part along the "x" axis, and a constant kinetic/gravitational potential part along the "y" axis. Maybe that's what your teacher meant? I doubt that your teacher would have forgotten Newton's laws, but even so it sounds like he or she does a bad job conveying the subject accurately.