The object is falling then the acceleration of the object is .
The acceleration of the object is , where
is the velocity.
Hence .
The antiderivative of is
.
Initial velocity is .
Substitute and
in
.
Therefore the velocity of the object is .
The velocity of the object is , where
is the distance.
Hence .
The antiderivative of is
Initial displacement is .
Substitute and
in
.
Therefore the displacement of the object at time is
.
The velocity of the object is .
Squaring on each side.
\From displacement of the object .
.
.