Galilei and Speed: Solving a Cat and Object Problem

[Mayaaaa]

Homework Statement

"A cat is climbing a vertical ladder from h=3m with the constant speed of v=4m/s. At the same time from the ground it's thrown in the air an object (small dimension) g=10m/s². Find out the initial speed of the object knowing that it will meet with the cat a single time. (v_o=?)

Homework Equations

y1=y2
v_a + a(t-t_o)-v_a root 2+2a(x-xo)

3. The Attempt at a Solution First attempt: http://imgur.com/h84NXzO,B73etyF + drawing second image

I need to find out 2 with the Galilei equation and the speed one

 

[mfb]

Looks correct, but I think you should add a numerical answer as you got values for v and h.