A sled of initial total mass \(M_0\) is initially at rest on a frictionless horizontal surface. At time \(t = 0\), a constant horizontal force \(F_0\) is applied to the sled, and water simultaneously begins to leak out through a hole in the bottom at a rate given by \(\dfrac{dm}{dt} = -bm\), where \(b\) is a positive constant and \(m(t)\) is the instantaneous mass of the sled and remaining water. The water leaves the sled with zero horizontal velocity relative to the sled. Which of the following expressions correctly gives the speed \(v(t)\) of the sled as a function of time \(t\)?