[SYMBOL]
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[B]
[C]
[D]
[E]
[F]
[G]
[H]
[I]
[J]
[K]
[L]
[M]
[N]
[O]
[P]
[R]
[S]
[T]
[U]
[V]
[W]
[X]
[Y]
[Z]
elastic collisions
example 13.9
2nd
3rd
energy
[See also motion]
conservation of mechanical energy
2nd
3rd
4th
calculating (example 12.7)
2nd
modified for friction and air resistance
2nd
3rd
self-assessment
2nd
GPE (gravitational potential energy)
2nd
calculating (example 12.6)
2nd
self-assessment
2nd
units of measurement
kinetic energy
2nd
calculating (example 12.4)
2nd
rotational motion
2nd
3rd
4th
self-assessment
2nd
3rd
units of measurement
work
2nd
3rd
calculating (example 12.1)
2nd
calculating with angled force (example 12.2)
2nd
calculating with force and displacement at different angles (example 12.3)
2nd
3rd
self-assessment
2nd
3rd
units of measurement
work-energy theorem
2nd
3rd
example 12.5
2nd
3rd
English system
conversion factors
2nd
3rd
converting to metric system
acceleration conversion (example 7.6)
2nd
distance conversion (example 7.4)
2nd
speed conversion (example 7.5)
2nd
entries (matrices)
2nd
corresponding entries
equal matrices
2nd
3rd
example 5.2
2nd
3rd
example 5.3
2nd
3rd
equations
[See formulas]
linear equations.
[See linear equations]
equations of motion
2nd
3rd
4th
5th
6th
7th
8th
9th
10th
CD-ROM demos
2nd
in 2D (example 10.4)
2nd
in 3D (example 10.5)
2nd
multiple equations example (8.9)
2nd
Newton's Second Law
example 11.9
2nd
race car examples (8.7 and 8.8)
2nd
3rd
rotational motion
2nd
3rd
Wheel of Fortune example 14.3
2nd
self-assessment
solutions
equations with matrices (example 5.7)
2nd
Euler rotation
examples
1D momentum calculations (13.4)
2nd
2D differential scale (6.6)
2nd
3rd
4th
2D displacement (10.1)
2nd
2D equations of motion (10.4)
2nd
2D rotation (6.9)
2nd
3rd
4th
5th
6th
2D translation by addition (6.1)
2nd
3rd
2D translation by multiplication (6.3)
2nd
3rd
2D uniform scale (6.5)
2nd
3rd
4th
5th
3D average velocity (10.3)
2nd
3D differential scale (6.8)
2nd
3rd
3D displacement (10.2)
2nd
3D equations of motion (10.5)
2nd
3D momentum calculations (13.5)
2nd
3D numerical vector addition
3D numerical vector subtraction (4.9)
3D rotation about the y-axis (6.10)
2nd
3D rotation with combo matrices (6.12)
2nd
3rd
3D scaling with respect to center point (6.11)
2nd
3D translation by addition (6.2)
2nd
3rd
3D translation by multiplication (6.4)
2nd
3rd
3D uniform scale (6.7)
2nd
acceleration conversion (7.6)
2nd
angle between vectors (4.14)
2nd
angle between vectors (4.17)
2nd
angular acceleration (14.6)
2nd
average acceleration (9.4)
2nd
average angular acceleration (14.2)
2nd
average angular velocity (14.1)
2nd
average velocity (9.1)
2nd
axis-aligned vector reflection (13.1)
2nd
calculating acceleration (8.5)
2nd
calculating average velocity (8.3)
2nd
calculating conservation of mechanical energy (12.7)
2nd
calculating deceleration (8.6)
2nd
calculating friction (11.5)
2nd
calculating GPE (gravitational potential energy) (12.6)
2nd
calculating kinetic energy (12.4)
2nd
calculating mass (11.2)
calculating net force in 2D (11.6)
2nd
3rd
4th
calculating weight (11.1)
calculating work (12.1)
2nd
calculating work with angled force (12.2)
2nd
calculating work with force and displacement at different angles (12.3)
2nd
3rd
checking object in view (4.13)
2nd
3rd
circle-circle collision detection (2.12)
2nd
compacting sine wave horizontally (3.9)
2nd
compacting sine wave vertically (3.11)
2nd
conservation of momentum theorem (13.7)
2nd
converting binary numbers to decimal numbers (7.7)
converting Cartesian coordinates to polar coordinates (4.5)
2nd
converting decimal numbers to binary numbers (7.8)
2nd
converting degrees to radians (3.3)
converting gigabytes to bits (7.9)
converting kilometers to meters (7.2)
converting meters to kilometers (7.1)
converting polar coordinates to Cartesian coordinates (4.4)
2nd
converting radians to degrees (3.4)
cosine usage (3.6)
2nd
3rd
cross product (4.15)
defining matrices (5.1)
2nd
3rd
defining product (5.9)
2nd
3rd
defining sine, cosine, and tangent (3.5)
2nd
3rd
derivatives (9.3)
2nd
determining equation of circles (2.10)
2nd
3rd
determining equation of spheres (2.11)
2nd
3rd
determining right triangles (2.2)
2nd
3rd
difference identity for cosine (3.16)
difference identity for sine (3.14)
displacement between frames (8.2)
2nd
displacement with constant velocity (8.1)
2nd
distance between 3D points (2.3)
distance between screen points (2.1)
distance conversion (7.4)
2nd
distance versus displacement (4.3)
2nd
elastic collisions (13.9)
2nd
3rd
equal matrices (5.2)
2nd
3rd
equal matrices (5.3)
2nd
3rd
equations with matrices (5.7)
2nd
falling from known height (10.8)
2nd
3rd
4th
graphical vector addition (4.6)
2nd
3rd
4th
horizontal components of projectiles (10.7)
2nd
impulse-momentum theorem (13.6)
2nd
instantaneous acceleration (9.5)
2nd
instantaneous velocity (9.2)
2nd
instantaneous velocity in frames (8.4)
2nd
inverse tangent usage (3.7)
2nd
3rd
jumping from known height (10.9)
2nd
3rd
4th
matrix addition (5.4)
2nd
3rd
4th
matrix multiplication on equal-size matrices (5.8)
2nd
matrix subtraction (5.5)
2nd
3rd
matrix transpose (5.10)
matrix transpose (5.12)
2nd
midpoint between 3D points (2.5)
midpoint between screen points (2.4)
2nd
modified conservation of mechanical energy (12.8)
2nd
multiple equations of motion (8.9)
2nd
negative angle in standard position (3.2)
2nd
negative displacement (4.2)
2nd
Newton's First Law (11.7)
Newton's Second Law (11.8)
Newton's Second Law and equations of motion (11.9)
2nd
non-axis-aligned vector reflection (13.2)
2nd
3rd
non-axis-aligned vector reflection (13.3)
2nd
normal force on flat surface (11.3)
normal force on inclined plane (11.4)
2nd
3rd
normalizing vectors (4.12)
2nd
numerical vector addition (4.7)
2nd
3rd
4th
perfectly inelastic collisions (13.8)
2nd
positive angle in standard position (3.1)
2nd
positive displacement (4.1)
2nd
race car examples (8.7 and 8.8)
2nd
3rd
rotational kinetic energy (14.7)
2nd
scalar multiplication (5.6)
2nd
scalar multiplication in Cartesian coordinates (4.11)
scalar multiplication in polar coordinates (4.10)
2nd
second derivatives (9.6)
2nd
shooting paintballs (10.10)
2nd
3rd
sketching circles (2.8)
2nd
3rd
4th
sketching circles (2.9)
2nd
3rd
sketching parabolas (2.6)
2nd
3rd
sketching parabolas (2.7)
2nd
3rd
speed conversion (7.5)
2nd
sphere-sphere collision detection (2.13)
2nd
stretching sine wave horizontally (3.8)
2nd
stretching sine wave vertically (3.10)
2nd
sum identity for cosine (3.15)
sum identity for sine (3.13)
surface normal (4.16)
2nd
tangential velocity (14.4)
2nd
time conversion (7.3)
2nd
vector transpose (5.11)
verifying negative angle identities (3.12)
vertical components of projectiles (10.6)
2nd
vertical motion (8.10)
2nd
Wheel of Fortune 14.3 (equations of motion)
2nd
Wheel of Fortune 14.5 (tangential acceleration)
2nd
work-energy theorem (12.5)
2nd
3rd
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