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Falling Objects Formula
On Earth, if an object is dropped from a height of feet, the time in seconds it takes to reach the ground is given by:
This formula relates the drop height directly to the fall time through a square root. To use it, substitute the known height into the formula and simplify. For example, if an object is dropped from a height of 64 feet, substitute :
The object takes 2 seconds to reach the ground. Because the formula involves a square root, the result will be a whole number only when the height is a perfect square multiplied by 16; otherwise, the answer will be an irrational number that must be approximated.
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