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:

Domain

All the x-values that can be input into a function where it is specifically defined.

Composition

The act of creating a complex function by applying one function to the outputs of another, essentially layering functions mathematically.

Domain

The collection of all potential entry points that a function can accept.

Composition

The combining of two or more functions by applying one function to the result of another, indicated as \(f(g(x))\).