Final answer:
The motion of the student moving to the right after pushing against the wall is best explained by Newton's Third Law of motion, wherein the wall exerts an equal and opposite reaction force propelling the student.
Step-by-step explanation:
When the student pushes against the wall and subsequently moves to the right, the best explanation for this motion comes from Newton's Third Law of motion. This law states that for every action, there is an equal and opposite reaction. So, when the student exerts a force on the wall, the wall exerts an equal and opposite force on the student. Since the force from gravity is balanced by the normal force from the floor, and assuming there's no friction involved, this reaction force from the wall is what propels the student to move to the right.