KINETIC ENERGY
There is an interesting relationship between the final velocity of the object. From Newton's Second Law of Motion,
Also if we set 
as the final velocity and 
as the initial velocity there exist a relationship:
Since,
if we apply it to,
the result is,
Here, the quantity 
is call the kinetic energy, K and is dependent on the velocity and the mass of the moving object.
Since the work done is equal to the final kinetic energy minus the initial kinetic energy, the total work and be described as the change of the object's kinetic energy.
POTENTIAL ENERGY
In most of the cases the change in a form of energy is associated with the tranformation of that energy into another form of energy.
Consider an object of mass m being lifted up a distance h.
The work done by the force applied on the object is equal to mgh. Since motion is in the opposite direction to that of the force of gravity, the work done by gravity in this case is -mgh. The work mgh has been preserved as t
he gravitational potential energy, U.
In the like manner, the transformation of energy is presented as work.
Therefore,
More about Kinetic and Potential Energy
Next Page: The Conservation of Energy