## Essential University Physics: Volume 1 (4th Edition)

$v_0 = \sqrt{2gh +\frac{R^2g}{8h} }$
We know from the values of the x and y components of velocity that: $v_0 = \sqrt{2gh +\frac{R^2g^2}{8gh} }$ This simplifies to: $v_0 = \sqrt{2gh +\frac{R^2g}{8h} }$