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I don't have a lot of direct experience handling the output of MoveIt! yet but I'd look at this:

https://answers.ros.org/question/362498/can-a-moveit-goal-include-velocity-and-even-acceleration/

and this:

https://ros-planning.github.io/moveit_tutorials/doc/time_parameterization/time_parameterization_tutorial.html

From the second link:

MoveIt can support different algorithms for post-processing a kinematic trajectory to add timestamps and velocity/acceleration values. Currently there are three available by default in MoveIt:

  • Iterative Parabolic Time Parameterization

  • Iterative Spline Parameterization

  • Time-optimal Trajectory Generation