Make the time it takes to reach a point, always the same, no matter the distance?

Hi,

I already researched a lot but none of the solutions that i can find seem to work. The distance between p0 and p2 is decided by how far the MousePosition (p2) is away from p0. Yet, how would i make it so that, no matter what the distance is, it always takes the same time (say for example, 5 seconds) to get from p0 to p2?

function quadBezier(t, p0, p1, p2)
    return (1 - t)^2 * p0 + 2 * (1 - t) * t * p1 + t^2 * p2
end

local Player = game.Players.LocalPlayer
local Mouse = Player:GetMouse()
local Character = Player.Character or Player.CharacterAdded:Wait()
local speed = 50

Mouse.Button1Down:Connect(function()
    local p0 = Character.PrimaryPart.Position + Vector3.new(0,3,0)
    local p2 = Mouse.Hit.p
    local p1 = p0:Lerp(p2, .5) + Vector3.new(0,5,0)

    local snowball = workspace.snowball:Clone()
    snowball.Parent = workspace 

    coroutine.wrap(function()
        for t = 0, 1, 1/100 do
            local newPos = quadBezier(t, p0, p1, p2)
            snowball.Position = newPos
            wait()
        end
    end)()

end)

I'm trying to make a snowball. Thanks in advance!