Calculating Building Height: Quick Kinematics Question

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A stone is dropped from the top of a building. Within the second before it hits the ground, it travels 1/5 of the building's height. Calculate the total height of the building.

Been trying to formulate simultaneous equations but there just doesn't seem to be enough information and too many unknowns >< Help appreciated!
 
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What is the speed of the stone just before it hits the ground? You only need one equation.
 
Show what you've done so far. How would you write the distance fallen as a function of time?
 
You don't need more info either as the unknowns will eventually cancel out. There are actually a couple of different ways to solve this.
 
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