Projection effects can trick you into thinking that an astrophysical object is moving "superluminally". Consider a quasar that ejects gas with speed v at an angle 0 with respect to the line-of-sight of the observer. Projected onto the sky, the gas appears to travel perpendicular to the line of sight with angular speed Vapp/D, where D is the distance to the quasar and Vapp is the apparent speed. Derive an expression for vapp in terms of v and 0. Show that, for appropriate values of v and 0, vapp can be greater than 1.