When an object is thrown in the air and falls back down we use this quadratic equation:--- >>>> (see more below)--- >>>?

------ >>>>> (h = -4.9t^2 + v0t + h0) to calculate speed, time, height, distance etc. What is the proof for using this formula(h = -4.9t^2 + v0t + h0)? I admit I know very little about physics and I would need a very long explanation.
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