Given a geodesic in Teichmüller space with respect to the Teichmüller metric, one might enquire whether the projected image of an $R$-ball onto the geodesic has bounded diameter. Among many such parallels drawn between Teichmüller space of a Riemann surface and complete negatively curved spaces this is one. In this talk we will see the necessary and sufficient conditions for the projected image to have bounded diameter.