$W = W_{d_{0}} = W_{t_{0}} = \dfrac{1}{2}mv_{0}^{2} + mgz_{0} = \dfrac{1}{2}m.4^{2} + 0 = 8m (J)$
$\left\{\begin{matrix} W_{d} = W_{t}\\ W = W_{d} + W_{t} \end{matrix}\right. \to W_{d} + W_{d} = W$
$\to 2W_{d} = W$
$\to 2.\dfrac{1}{2}mv^{2} = 8m$
$\to v^{2} = 8$
$\to v = 2\sqrt{2}m/s$