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Beginning Math and Physics for Game Programmers by Wendy Stahler

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Chapter 9. Derivative Approach to Motion in One Dimension

KEY TOPICS

The preceding chapter defined the quantities of velocity and acceleration and took a numerical approach to working with the new quantities. As promised, this chapter takes a more in-depth look at both velocity and acceleration. We'll start with a graphical approach to help you visualize the motion, and then we'll use that graph to define the concepts of the limit and the derivative. This chapter briefly introduces the huge world of Newtonian Calculus; you might be inspired to pursue this subject even further. You'll find a list of suggested readings in Appendix B, “Suggested Reading,” to continue ...

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