Does an object move because it has Kinetic Energy or does it have Kinetic Energy because it is moving? Maybe to explain I'm wondering if an object gains $\rm K.E.$ which causes it to have a velocity or does an object have a velocity which cause it to get $\rm K.E.$?
 A: The formula for kinetic energy tells you that movement is a necessary ingredient:
$$KE = \frac {1}{2} m v^2$$
where $m$ is mass
and $v$ is speed.
Without speed, there's no kinetic energy.  However, to an observer moving with the object, the object will not appear to have kinetic energy.  Other objects with different velocities, on the other hand, will appear to that observer to have kinetic energy.
If an object is at rest with respect to other objects, energy is necessary in order to overcome its inertia with respect to those objects.  Such energy can be a release of potential energy, or the transfer of kinetic energy from another object (a moving object).
Movement is relative to the observer.  Your question is sort of like asking whether the chicken or the egg comes first.  Actually, the observer comes first.
A: In many cases, energy is best thought of as a relative quantity. It is changes in energy -- from kinetic to gravitational potential, etc -- that are physically meaningful. Absolute quantities have less meaning (though as some point out, rest mass, and its equivalent energy, are intrinsic, but if we're speaking only about non-relativistic mechanics then this is irrelevant).
Thus, kinetic energy can be thought of as the amount of work an object could perform on another object, by colliding with it. If the objects are moving at the same speed then no work can be performed, they can't collide. 
Having a relative velocity and having kinetic energy are the same thing, one doesn't cause the other.
A: The object is compelled to have the same velocity unless something is willing exchange both energy and momentum with it in a way that allows it to balance energy and momentum in the particular way that its mass requires:
$$E^2=\vec p^2c^2+(mc^2)^2.$$
Or, for slow speeds:
$$E\approx mc^2+\frac{\vec p^2}{2m}.$$
Otherwise it has to keep having that kinetic energy forever because it can't change its momentum.
So the real question is about changing the kinetic energy. And it has to get energy and momentum from something else or be stuck with both the energy and momentum it already has.
A: Kinetic energy depends upon relative velocity. If the relative velocity vanishes, so does the kinetic energy.
A: Laymen's language - 
It is the kinetic energy that moves the mass.
Energy is restlessness of the universe. It only rests in mass. That is why we say "rest mass". In that sense, it can also be called "rest energy"
When energy moves alone (in space), it moves at c. 
When it moves a mass, it moves per KE = 1/2 * m * v * v. 
KE can be movement of whole mass, or it can be random movements of its particles (heat energy).
When it rests in mass, it likes to rest together - gravity.
When it moves alone, it likes to spread - radiation/waves.
I am not sure about how electric/magnetic energy rests/moves (if we call them energy instead of fields/charges), may be someone can comment.
