per second per second

per second per second
n.
a unit used for acceleration when the change in velocity per second is divided by the change in time, which is also in seconds: e.g., if the velocity increased from 5 meters per second to 20 meters per second in a time interval of one second, the acceleration would be 15 meters per second per second (15 m/sec./sec. or 15/m/sec. 2)

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Universalium. 2010.

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