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per second per second is taken with the context of how an object is changing its acceleration. An object accelerates by speeding up or slowing down. If an object speeds up, it could speed up at a rate of 5 meters per hour, let's say, every second. So after one second, its speed is 5 mph; after two seconds, its speed is 10 mph and so forth. If an object's speed is increasing at 5 meters a second, then its speed is 5 meters per second the first second; 10 meters per second the second second and so forth. We would say the object's acceleration is 10 meters per second / per second.

AnswerIt has to do with speed,the time an object falls from a given height is calculated in seconds per second( it fell in less than a second)
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Q: What does the phrase per second per second mean?
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