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It is called
the rest position, or where it stops
Kinetic energy is anything that was in a resting position and is now moving. The resting position it is in is called gravitational potential energy.
That is called the amplitude.
xcvb
The characteristic of a wave that describes the greatest distance it travels, or vibrates from a resting position is called the amplitude, which is the technical name. A more common name would be loudness.
It seems most likely to me that you're talking about wave motion, so I will assume so. The maximum distance of particles from their rest position is called the amplitude.
Anticipation
Adrenaline
In a wave, it is called the wave length.
The resting place at the end of a phrase is called a cadence. The distance between different pitches is called an interval.
The resting period of bacteria is called the dormant period