When You Drop a Pebble from Height H, It Reaches $\sqrt { 2 }$

question 213

Multiple Choice

When you drop a pebble from height H, it reaches the ground with kinetic energy K if there is no air resistance. From what height should you drop it so it will reach the ground with twice as much kinetic energy?

• A) \(\sqrt { 2 }\) H
• B) 2H
• C) 4H
• D) 8H
• E) 16H

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Definitions:

Deduction

A method of reasoning from the general to the specific where the conclusion necessarily follows from the premises.

Argument By Analogy

A form of reasoning in which a similarity between two situations is used to infer a similar attribute or conclusion.

Cellos

A stringed musical instrument of the violin family, larger than the viola and with a deeper sound.

Premises

Statements or propositions that are presented as the basis for a conclusion, forming the groundwork of an argument or logical reasoning.