Question

A ball of mass m is dropped from a height h above the ground. Neglecting air resistance, (a) determine the speed of the ball when it is at a height y above the ground. (b) Determine the speed of the ball at y if at the instant of release it already has an initial upward speed vi at the initial altitude h. 

Answer 1

a)

$$v=\sqrt{2g(h-y)}$$

b)

$$v=\sqrt{v_i^2+2g(h-y)}$$