Explain how the terms in each pair differ in meaning: vegetative part, fruit.

A true fruit is a ripened ovary that usually starts ripening when it is fertilized. And vegetable is any vegetative part of the plant which is edible and contains stored food probably in the form of starch.
These definitions are not exact as there are a lot of fruits which are fruits but do not strictly follow the given definition. See Syconus, Composite fruits, Sorosis.etc

Classification is based on several different criteria, for example the mode of reproduction, arrangement and design of flowering parts and flowers and also on the basis of habitat and habit.

Mitochondria produce atp, a high energy compound. atp is used for all sorts of enzyme-mediated reactions, such as making proteins/nucleotides/etc, certain compounds cross the cell membrane, muscles move, etc.  without this source of energy, a cell will die. it will not be able to repair itself, defend against pathogens, etc.