A ball is thrown from height h vertically upward with initial velocity Vo. Find the final velocity of ball with it hits the ground?

Question

turingtest · Answer

if it has velocity $v_0$ on the way up, then when it gets to height h it will have the same velocity again only downward, right?|dw:1332798412849:dw|

shayaan_mustafa · Answer

yes right.

turingtest · Answer

so we have the problem$$v_f^2=v_0^2+2ad$$in this case this is$$v_f^2=v_0^2+2gh\implies v_f=\sqrt{v_0^2+2gh}$$or if you want to not the fact that we are going in the negative direction$$v_f=-\sqrt{v_0^2+2gh}$$

turingtest · Answer

want to note the fact that*

shayaan_mustafa · Answer

$$h=V _{o}^{2}/2g$$am I right?

turingtest · Answer

yes

turingtest · Answer

ok I see where you got your formula now

shayaan_mustafa · Answer

so$$v _{f}=-\sqrt{v _{o}^{2}+v _{o}^{2}}$$is it correct??

turingtest · Answer

but we are confusing two things, I was mistaken to say you were right that$$h=v_0^2/2g$$you are talking about the $maximum$ height in that equation
h for us is unknown

shayaan_mustafa · Answer

then answer is$$v _{f}=-v _{0}$$