The Physics behind it

We have an object being thrown and want to know it's velocity (speed/distance in relation to time)
We can determine the velocity using  with a rate of g m/s per second. 
This is called the acceleration of gravity.   It uses absolute value for gravity (32.2 ft/s² ).  
Let's understand the abbreviations:  velocity = v, gravity =g and seconds(time) =t the falling body is dropped.
We can determine distance:
Given the velocity formula , with the integration results in: 
where x is the distance an object falls over a time t.
For example, an object falling for 3 seconds would travel 32 x 3 x 3 / 2 = 144 feet
Next, we can think about the velocity with respect to time- 
If all of this would be graphed, you would get a parabola! Opening downwards, of course!
If a body is projected upwards with an initial velocity v, then at some time t = v/g, it comes to rest and then begins to fall back. The motion is described by y = vt - gt²/2 at any time, so if this time is substituted, the height of the turning point is found to be y = v²/2g. By a proper choice of the three constants in the general quadratic y = at² + bt + c, motions under gravity (or any constant acceleration) in one dimension with arbitrary initial position, velocity and time can be described. 
So- Get your axes x horizontal and y vertical (going up!)