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
.

.
.