What method should I go about moving an object so that it doesn't look snappy?

For more context I'm moving a plane (just one part for now) ahead every loop depending on your speed using Heartbeat service, and as far as I've read, Heartbeat should be as fast as your FPS but the movement is still jittery, whether or not you're attached to the plane (the player is attached with a weld, maybe not the best idea but the plane is still really snappy when nobody is in it), my FPS appears to be locked at 60, while the plane looks like its moving at 15-30 fps.

I started this project by making the plane so there is only 2 scripts rn

Server script in the plane object

--Roblox Services
local RunService = game:GetService("RunService")

--Script Variables
local Taken = false
local Camera = nil
local Checked = false
local Character = nil
local Player = nil
local VStep = 0
local speed = 1
local speedmin = 0.5
local speedregmax = 1
local speedmax = 5
local acceleration = 10
local deceleration = 20
local dirX = 0
local dirY = 0
local dirZ = 0

script.Parent.Touched:Connect(function(obj)
	print(obj)
	if obj.Parent:FindFirstChild("Humanoid") then
		--Is Human
		if Taken == false then
			Taken = true
			
			local Humanoid = obj.Parent.Humanoid
			Character = obj.Parent
			Player = game.Players:GetPlayerFromCharacter(Character)
			
			local Weld = Instance.new("Weld")
			Weld.Parent = Character.HumanoidRootPart
			Weld.Part0 = Weld.Parent
			Weld.Part1 = script.Parent
			Weld.C0 = Weld.C0 + Vector3.new(0,Humanoid.HipHeight + 0.2,0)
			Humanoid.PlatformStand = true
			Camera = Character.ClientPoll.CameraPoll:InvokeClient(Player)
			print(Camera)
		end
	end	
end)


RunService.Stepped:Connect(function(time, step)
	print(speed)
	if speed < speedmin then
		speed = speedmin
	end
	if Taken == true then
		if math.floor(time * 10)%2==0 then
			if Checked == false then
				Checked = true
				Camera = Character.ClientPoll.CameraPoll:InvokeClient(Player)
			end
		else
			Checked = false
		end
	end
	--Most of this can be ignored as it is just calculating speed in a janky way, but there is a few important parts here
	if Camera ~= nil then
		print(Camera.lookVector.Y)
		if Camera.lookVector.Y < 0 then
			if speed + Camera.lookVector.Y < speedmax * -Camera.lookVector.Y then
				speed = speed - Camera.lookVector.Y / acceleration
			else
				speed = speed + Camera.lookVector.Y / (acceleration * 4)
			end
		else
			print("A")
			local decel = math.clamp((Camera.lookVector.Y / deceleration),0.01,10000)
			local cap = (speedmin / math.clamp(Camera.lookVector.Y,0.5,1))
			if speed - decel < cap then
				speed = cap
			else
				speed = speed - decel
			end
		end
		local dirA = Vector3.new(dirX, dirY, dirZ):Lerp(Camera.lookVector,0.5)
		dirX, dirY, dirZ = dirA.X, dirA.Y, dirA.Z
	end
	--where the plane actually gets moved
	script.Parent.CFrame = script.Parent.CFrame:Lerp(script.Parent.CFrame + Vector3.new(dirX * speed, dirY * speed, dirZ * speed), 0.025 / step)
end)

local script in character

local Camera = workspace.CurrentCamera

script:WaitForChild("CameraPoll")
script.CameraPoll.OnClientInvoke = function()
	return Camera.CFrame
end

Use body gryo or whatever it is called please correct me. But basically.

local bodyGryo = script.workspace.BodyGyro

local position = bodyGyro.Position --I think it is called position may be called something else


if speed = >4 then

position = mouse.cursor
end)

Make sure the BodyGryo is in the model and not just in the plane model/union if this doesnt work reply