Mass of the object is given as
now the speed of object is given as
here we know that
now we will have
now we will have kinetic energy of the object as
now the power is defined as rate of energy
so here we can find power as
so above is the power used for the object
If the resistance of the Air is ignored, we can use the theory given by Galileo in which he warned that the thermal velocity of a body in free fall was given by
Where
g = Gravitational acceleration
t = time
As we can see the speed of objects in free fall is indifferent to the position that is launched (as long as the resistance of the air is ignored) or its mass.
Both bodies will end with the same thermal speed.