How Could I Control a Part's Movement Fluidly?

So, I have created a tool that allows the player to control the motion of a created part for a short time. To do this, I constantly edit the Velocity of a BodyVelocity within the part based on the user's mouse.Hit.p; however, this movement is not very fluid. As you can imagine, each time the user move's their mouse to a different target, the part abruptly changes its velocity to head towards it, but I would much rather it have some kind of torque or acceleration change when doing this. I am not very familiar with Body Movers, so I need some help figuring out which one (or ones for that matter), could make this happen. Thanks so much in advance for anyone who can help!