Is Motion Scalar or Vector in Nature?

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Motion is debated as being scalar, vector, or neither, with some arguing it is not quantifiable. While velocity, momentum, and kinetic energy can be measured, motion itself lacks a numerical value. A definition of motion suggests it is a complex, time-dependent mapping from phase space to phase space. The term "quantifiable" refers to the ability to assign a numerical value to a concept. The discussion highlights the complexity of understanding motion beyond simple classifications.
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Is Motion a scalar or vector or neither?
 
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Motion is not something even quantifiable. You can say a system has a higher velocity, or more momentum or more kinetic energy, but not more motion.
 
excuse me, what do you mean by quantifiable?
 
One definition of motion I have seen is a time-dependent map from phase space to phase space. Which is quite a bit more complex than scalar vs vector.
 
'quantifiable' = capable of having a number, or quantity, assigned to it.
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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