How to calculate rocket?

Question

So I got a 3d system and some coordinates:

• Start coordinates (x, y, z) of a rocket (on the ground)
• Target coordinates (x, y, z) of the ro

Answer 1

The trajectory will be a parabola. The basic equations of which are explained quite well here: https://courses.lumenlearning.com/boundless-physics/chapter/projectile-motion/

The 3D problem (x, y, z) can be easily be transformed to a 2D (single plane) problem (horizontal, vertical), for the equations then back to 3D for the problem.