Rate of Acceleration: Find Unit of Change

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Acceleration is defined as the rate of change of velocity, and the unit of acceleration is meters per second squared (m/s²). The time rate of change of acceleration, known as jerk, has units of meters per second cubed (m/s³). This can be expressed as "((meters per second) per second) per second," emphasizing the sequential nature of the changes. Thus, the unit of change of acceleration is m/s³, reflecting how acceleration varies over time. Understanding these units is crucial for analyzing motion in physics.
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if acceleration is defined as rate of change in velocity, then how do you find out the unit of rate of change of acceleration?
 
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The time rate of change of acceleration has units of acceleration/time.

If acceleration is in units of m/s/s (m/s^2), the time rate of change of acceleration would have units of m/s/s/s or m/s^3.
 
Acceleration: We say "metres per second squared", which is how it's written but what we really mean is "(metres per second) per second" i.e. 'rate of change of velocity'.
So rate of change of acceleration would be "((metres per second) per second) per second" or "metres per second cubed". Take your pick.
 

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