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Beginning Math and Physics for Game Programmers by Wendy Stahler

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Chapter 12, “Energy”

Work

W = FΔx

where Δx = displacement and F = force in the direction of displacement.

Kinetic Energy

KE = ½mv2

where m = mass and v = speed.

Work-Energy Theorem

W = ΔKE = KEfKEi

or

where the force and displacement are in the same direction and v is speed.

Gravitational Potential Energy

GPE = mgy

where m = mass, g = acceleration due to gravity, and y = height.

Conservation of Mechanical Energy (Simplified)

KEi + PEi = KEf + PEf

or

Conservation of Mechanical Energy (Modified)

KEi + PEi = KEf + PEf + Eo

or

where Eo represents ...

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