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Physics for Game Programmers
GRANT PALMER
Physics for Game Programmers
Copyright © 2005 by Grant Palmer
All rights reserved. No part of this work may be reproduced or transmitted in any form or by any means,
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system, without the prior written permission of the copyright owner and the publisher.
ISBN (pbk): 1-59059-472-X
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This book is dedicated to my wonderful wife, Lisa.
Contents at a Glance
About the Author
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xvii
About the Technical Reviewers
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xix
Acknowledgments
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxi
Introduction
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxiii
CHAPTER 1
CHAPTER 2
CHAPTER 3
CHAPTER 4
CHAPTER 5
CHAPTER 6
CHAPTER 7
CHAPTER 8
CHAPTER 9
CHAPTER 10
CHAPTER 11
CHAPTER 12
CHAPTER 13
CHAPTER 14
CHAPTER 15
Adding Realism to Your Games
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Some Basic Concepts
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Basic Newtonian Mechanics
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Basic Kinematics
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
Projectiles
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
Collisions
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
Sports Simulations
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167
Cars and Motorcycles
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211
Boats and Things That Float
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245
Airplanes
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275
Rockets and Missiles
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 319
The Physics of Solids
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 351
Explosions
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371
Lasers
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 385
Probabilistic and Monte Carlo Simulations
. . . . . . . . . . . . . . . . . . . 403
■
INDEX
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 423
v
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