im a bit puzzled, please help me gain the sanity required for this confusion...

suppose a ball is thrown from the top of a cliff, and i am supposed to get its final velocity; since when the ball reaches it maximum height, the vf which becomes the vi or initial velocity upon its fall on earth is o, should i conclude that the vix or the velocity in the horizonal component is 0? Or should i use the fact:

vix=vfx

thanks.

The final velocity, just before it hits the ground at the bottom of the cliff, is such that the kinetic energy will have increased by M g H.

Thus
Vfinal^2 - Vinitial^2 = 2 g H

The direction that the ball is thrown makes no difference.