Marjorie drops an object from a height of h meters, and it hits the ground with a velocity of v m/s, as given by the function v equals square root of 19.6 h. If the velocity of the object is 81.4 m/s, what was the height of the object before it was dropped? Round your answer to the nearest tenth.

The object was dropped at a height of 338.1 meters.

Step-by-step explanation:

According to the statement, the function velocity (), in meters per second, in term of the initial height of the object (), in meters, is represented by:

(1)

This formula represents a particular case of a free fall analyzed by means of the Principle of Energy Conservation. If we know that , then the height of the object before being dropped is:

The object was dropped at a height of 338.1 meters.

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