For an object that is under the pull of only the force of gravity, the motion is called free-fall. The equations that would allow us to calculate for the speed and distance is,
Speed = gt
Where g is the acceleration due to gravity and the t is the time.
For the distance, it is calculated through the equation,
Distance = vt + 1/2gt^2
Where v is the initial velocity and is equal to zero.
The graphs are attached.
