Beginning Math and Physics for Game Programmers
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falling from known height (example 10.8) 2nd 3rd 4th false collisions (collision detection) 2nd 3rd 4th 5th Fawcett, Michael Cannon Physics CD-ROM demo final velocity formulas 2nd 3rd 4th flat surface normal force on (example 11.3) foot - pounds force at different angle than displacement calculating work (example 12.3) 2nd 3rd in definition of work units of measurement forces 2nd [See also motion] friction calculating (example 11.5) 2nd coefficient of friction 2nd 3rd combined with normal force 2nd kinetic friction 2nd 3rd static friction 2nd 3rd gravity changes in net force 2nd 3rd calculating in 2D (example 11.6) 2nd 3rd 4th free-body diagrams 2nd 3rd 4th 5th Newton's First Law 2nd 3rd example 11.7 Newton's laws self-assessment 2nd 3rd Newton's Second Law 2nd 3rd 4th and equations of motion (example 11.9) 2nd example 11.8 Newton's Third Law 2nd Newton's laws self-assessment Newton •s First Law Newton •s Second Law Newton •s Third Law normal force 2nd combined with friction 2nd on flat surface (example 11.3) on inclined plane (example 11.4) 2nd 3rd self-assessment 2nd 3rd solutions weight 2nd 3rd 4th 5th calculating (example 11.1) calculating mass (example 11.2) versus mass formulas [See also conversion factors] 2D combo matrices 2nd 2D displacement 2nd 2D rotation 2nd 2D scaling 2nd 2D translation by addition 2nd 2D translation by multiplication 2nd 2D vector normalization 2nd 3D combo matrices 2nd 3D numerical vector addition 3D numerical vector subtraction 3D rotation about the x-axis (pitch) 2nd 3D rotation about the y-axis (yaw) 2nd 3D rotation about the z-axis (roll) 2nd 3D scaling 2nd 3D translation by addition 3D translation by multiplication 2nd 3D vector normalization 2nd acceleration 2nd amplitude of sine wave 2nd 3rd angle between vectors 2nd 3rd 4th angular displacement 2nd angular momentum average acceleration 2nd average angular acceleration 2nd average angular velocity 2nd average velocity 2nd 3rd 4th 5th 6th in 2D and 3D 2nd axis-aligned vector reflection 2nd Cartesian coordinates in 3D circle-circle collision detection 2nd optimized 2nd circles 2nd centered at origin 2nd determining (example 2.10) 2nd 3rd conservation of mechanical energy 2nd modified for friction and air resistance 2nd conversion factors 2nd converting Cartesian coordinates to polar coordinates converting OpenGL to DirectX 2nd converting polar coordinates to Cartesian coordinates cross product 2nd degrees to radians conversion 2nd displacement 2nd 3rd 4th 5th 6th displacement between frames 2nd displacement with constant velocity 2nd distance between points in 2D 2nd in 3D 2nd dot product in 2D 2nd in 3D 2nd equations of motion 2nd 3rd 4th 5th 6th 7th 8th 9th 10th CD-ROM demos 2nd in 2D (example 10.4) 2nd in 2D and 3D 2nd in 3D (example 10.5) 2nd multiple equations example (8.9) 2nd race car examples (8.7 and 8.8) 2nd 3rd self-assessment 2nd final velocity 2nd 3rd 4th GPE ( gravitational potential energy) 2nd horizontal components of projectiles 2nd impulse 2nd instantaneous acceleration 2nd using derivatives 2nd using second derivatives 2nd instantaneous velocity 2nd using derivatives 2nd kinetic energy 2nd kinetic friction 2nd linear collisions 2nd linear equations math.h inverse trigonometric functions math.h trigonometric functions matrix multiplication matrix transpose 2nd 3rd midpoint in 2D 2nd midpoint in 3D 2nd momentum 2nd negative angles trigonometric identities 2nd Newton's Second Law rotational motion non-axis-aligned vector reflection 2nd numerical vector subtraction parabolas horizontal axis of symmetry 2nd vertical axis of symmetry 2nd parallel lines perpendicular check 2nd 3rd perpendicular lines point-slope linear equation positive and negative dot product 2nd Pythagorean theorem 2nd converse of radians to degrees conversion 2nd rotational kinetic energy scalar multiplication 2nd in Cartesian coordinates in polar coordinates 2nd sine wave period 2nd 3rd slope 2nd slope of lines slope-intercept linear equation sphere-sphere collision detection optimized 2nd spheres 2nd centered at origin 2nd determining (example 2.11) 2nd 3rd static friction 2nd sum and difference identities for cosine 2nd sum and difference identities for sine 2nd surface normal symbols in tangent and cotangent trigonometric identities tangential acceleration 2nd tangential velocity 2nd torque trigonometric functions 2nd 3rd 4th unit circle trigonometric identity 2nd vector addition vertical components of projectiles 2nd weight 2nd work 2nd framerate changes in frames displacement between 2nd example 8.2 2nd instantaneous velocity in (example 8.4) 2nd free-body diagrams 2nd 3rd 4th 5th calculating net force in 2D (example 11.6) 2nd 3rd 4th friction calculating (example 11.5) 2nd coefficient of friction 2nd 3rd combined with normal force 2nd kinetic friction 2nd 3rd modifying conservation of mechanical energy law 2nd example 12.8 2nd static friction 2nd 3rd functions C++ trig functions pow() powf() printMatrix() sqrt() sqrtf() fundamental period 2nd [See also period]
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