A rock of mass m is thrown horizontally off a building from height h. The speed of the rock as it leaves the thrower’s hand at the edge of the building is v0. How much time does it take the rock to travel from the edge of the building to the ground?
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Let’s get the theoretical basis out of the way: horizontal motion is independent of vertical motion in this given problem. Thus, we can ignore the v0 that is given in the problem.
That said, the problem reduces to a simple one-dimensional problem. We are given a displacement (-h), an initial velocity, 0 (in the y direction), and an acceleration (a=-g m/s^2).
From the kinematic equation x = 1/2at^2 + vt
-h = 1/2(-g)*t^2
t = sqrt(2h/g)