Equation (5.10) applies to the case where the initial velocity is zero.
(a) Derive the corresponding equation for v,(t) when the falling object has an initial downward velocity with magnitude vo.
(b) For the case where Vo < Vt, sketch a graph of v, as a function of t and label vt on your graph.
(c) Repeat part (b) for the case where Vo > vt.
(d) Discuss what your result says about v, (t) when Vo = Vt•