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Physics for Game Programmers
GRANT PALMER
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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,
electronic or mechanical, including photocopying, recording, or by any information storage or retrieval
system, without the prior written permission of the copyright owner and the publisher.
ISBN (pbk): 1-59059-472-X
Printed and bound in the United States of America 9 8 7 6 5 4 3 2 1
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of a trademarked name, we use the names only in an editorial fashion and to the benefit of the trademark
owner, with no intention of infringement of the trademark.
Lead Editor: Tony Davis
Technical Reviewers: Alan McLeod, Jack Park
Editorial Board: Steve Anglin, Dan Appleman, Ewan Buckingham, Gary Cornell, Tony Davis, Jason Gilmore,
Jonathan Hassell, Chris Mills, Dominic Shakeshaft, Jim Sumser
Assistant Publisher: Grace Wong
Project Manager: Laura E. Brown
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The source code for this book is available to readers at www.apress.com in the Downloads section.
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
Adding Realism to Your Games . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
CHAPTER 2
Some Basic Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
CHAPTER 3
Basic Newtonian Mechanics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
CHAPTER 4
Basic Kinematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
CHAPTER 5
Projectiles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
CHAPTER 6
Collisions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
CHAPTER 7
Sports Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167
CHAPTER 8
Cars and Motorcycles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211
CHAPTER 9
Boats and Things That Float . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245
CHAPTER 10
Airplanes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275
CHAPTER 11
Rockets and Missiles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 319
CHAPTER 12
The Physics of Solids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 351
CHAPTER 13
Explosions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371
CHAPTER 14
Lasers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 385
CHAPTER 15
Probabilistic and Monte Carlo Simulations . . . . . . . . . . . . . . . . . . . 403
■ INDEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 423
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