Projectiles. Simple parabolic path.

I am trying to write a script to allow me to flick an object close to the screen, and it would slide along the z-axis until in reaches a certain point. There will be wind applied to it along the x-axis. Much like "Paper Toss"

A few important points. It has to stop in line on the z-axis with the target it's trying to reach. Like in "Paper Toss" it cannot go behind the bin or fall in front of it. It doesn't change it's y-position and last thing, it has to have a parabolic path.

I don't want you to think that I did no work, and I just want someone to write the script, I am just looking for any help I can get. I understand that this is a very simple question but due to my lack of experience with 3d games I can't solve it. I have done a few years of Applied Maths and I understand how the Physics of it works. I just don't know what it the best approach.

Here are my thoughts on it: 1. I cannot simply add an Impulse because I won't have control over where it will stop. Unless I manually type something like (if z <= -10 {stop;} // pseudo code), but that will lead to a sudden stop. 2. I can pre-calculate the path in the following way (look at the .png). The player will drag their finger away from the cross and let go somewhere along the 180 degrees. I can draw a straight line from where he lets the finger go to the target. But that will not feel realistic because even a throw completely to the right will end up in range of sight if you know what I mean.

Please ask a question if you don't understand what I mean at any point.