Get launch vector and force for a trajectory

Hi I am not good at physics math… Please bare with me and help me with this question :slight_smile:

I have a launch function that requires a launch vector(Vec3) and a launch force(float).
Today, I have the start point and the end point for the trajectory, how do I calculate the launch vector and launch force for the trajectory?

Note1: The time can be fixed.
Note2: The start point and the end point have different height (z). The end point is always higher.

I am working on a basketball shooting game.
I will really really appreciate any help! Thanks!!

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