## Fundamentals of Physics Extended (10th Edition)

In Problem 14a, we used $v_{0} = \sqrt {v^{2} + 2g\Delta h}$ to find the initial speed. In Problems 14b and 14c, we used $v = \sqrt {v_{0}^{2} – 2g\Delta h}$ to find the final speeds. Both expressions for the velocities do not involve the mass $m$ of the ball. Therefore, all the answers would remain the same.