Without the speed cap the player runs off the map at super high speeds, I want to have the script to have a customizable speed cap/max speed and when you die or stop running/walking the script restarts. The script is a running acceleration script the longer you run the faster you get.

local Players = game.Players
local RunService = game:GetService("RunService")

local SpeedPerStud = 0.08 --Configure this to your liking!!!!!

local StudsTraveled = 0
local LastPosition = nil

function playerAdded(player)
	--Fires when a player joins the server
	local Speed = Instance.new("NumberValue") --In case the player dies, save their speed
	Speed.Name = "SpeedValue"
	Speed.Value = 0.6
	Speed.Parent = player
	local RootPartHeartbeat = nil
	player.CharacterAdded:Connect(function(character)
		LastPosition = character.HumanoidRootPart.Position
		RootPartHeartbeat = RunService.Heartbeat:Connect(function()
			if character:FindFirstChild("HumanoidRootPart") then --If the player jumps into the void or their character doesn't exist for some reason, this will stop this block of code from running
				local DistanceFromLastPosition = (character.HumanoidRootPart.Position-LastPosition).magnitude
				Speed.Value = Speed.Value+(DistanceFromLastPosition*SpeedPerStud)
				character.Humanoid.WalkSpeed = Speed.Value
				LastPosition = character.HumanoidRootPart.Position
			end
		end)
	end)
	player.CharacterRemoving:Connect(function()
		RootPartHeartbeat:Disconnect() --Prevents **serious** memory leaks AND errors!
	end)
end

Players.PlayerAdded:Connect(playerAdded)
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