Kinematics: A Complete Picture of Motion Without Causes

[crastinus]

So, if kinematics is the study of motion without reference to its causes (which is how it seems to be defined in many places), then here is my attempt to come up with a complete picture of motion without reference to its causes. This is just a summary to help me organize my thoughts (it is NOT meant to be a summary only of a first-year course on mechanics; it is meant to summarize everything in the study of motion without reference to its causes like forces).

Here's my "big picture":

1-, 2-, and 3-D position
1-, 2-, and 3-D motion

velocity as vector rate of change of position
acceleration as vector rate of change of velocity
jerk, snap, etc.

kinematic constraints
-holonomic
-non-holonomic

change of orientation of a body (here I don't know how this is generally described)
-rotation of body about a fixed axis

relative velocity and acceleration

point trajectories in a moving body (with velocity and/or acceleration)

motion of inertial reference frames
-rotation
-translation

accelerating reference frames (non-inertial reference frame)My first question is: Am I missing anything?

And my second question is: What is the best way to include here how motion at the relativistic scale and motion at the quantum scale are different from that of motion at the classical scale? In general, is there a way to give an outline that applies to motion at all scales?

 

[PeroK]

And my second question is: What is the best way to include here how motion at the relativistic scale and motion at the quantum scale are different from that of motion at the classical scale?

Learn Special Relativity; learn a bit of Quantum Mechanics.

 

[Anmol]

yaa as we are advancing in physics we are coming to know about 4th d also as published in paper of Albert einstein