A 50g ball is falling down. As the ball passes a certain distance its potential energy changes for 2J. Calculate this distance. Does this distance depend on the initial velocity of the ball?

potential energy = mass * gravity * height

so, change in potential energy = mass * gravity * change in height

2 = 50 * 10 * Δh

2 : 500 = Δh

Δh = 0.004 m

This distance does depend on the initial velocity of the ball.