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The Time for a Rock to Hit the Ground When

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The time for a rock to hit the ground when it is dropped from a height of h meters is described by the equation The time for a rock to hit the ground when it is dropped from a height of h meters is described by the equation   where t is in seconds. If it takes 2.15 seconds for a rock to fall what was the height h ? Round to 2 decimal places where t is in seconds. If it takes 2.15 seconds for a rock to fall what was the height h ? Round to 2 decimal places


Definitions:

Probability

The measure of the likelihood that an event will occur, expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Von Neumann-Morgenstern Utility Function

A utility function theory based on expected utility, fundamental in making rational decisions under uncertainty, emphasizing outcomes' probabilities.

Probability

The measure of the likelihood that an event will occur.

Expected Utility

A concept in economics and finance that calculates the anticipated utility of different choices, taking into account the various possible outcomes and their probabilities.

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