> Ok, in 2d, ballistic, easier, first:
> 
>    y = a.t.t + b.t + c
>    x = d.t
> 
>  (t = clock !)
> 
> you will have to resolve the system for the initial speed vector
>  ( dx & dy at t=0 ), using the target and initial position.
>  There is an infinity of solution without the speed, because
>  the curve is a parabol and you have only two poind.
>  speed fix the tangent and the length of speed should be
>  adjusted according to the gravity intensity.

Ooops, I forget to push gravity in the system:
Obviously: a = -g/2

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