Getting projectiles to push players with them (rocket riding)

I want projectiles that push players without manually adding body movers to the player if it can be avoided. I also need the player to not influence the trajectory.
like this
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but I was testing with some edits to the classic rocket launcher and I could not get the player to stay on the rocket. Standing in front of the rocket just flings the rocket around even after messing with different movers for the rocket and network ownership.
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Anchored projectiles moving fast will clip through the player, and manually moving players in front with them was choppy.