The number of cycles per second, or frequency, is expressed in hertz, abbreviated Hz.
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Hertz are used to measure cycles per second. Sound is measured in hertz. I hope I understood the question.
The speed of an object falling from a great height is measured in meters per second per second until it reaches terminal velocity (maximum downward speed).
Acceleration
It's calculated, not measured. It's the speed of light ... 299,792,458 meters per second ... multiplied by the number of seconds in a standard year.
"Per second per second" is a measurement of acceleration. If an object (such as a car) is moving, its speed can be measured in terms of miles per hour, or feet per second (which work out to be a similar figure to miles per hour). If the car is accelerating, the acceleration can be measured in terms of additional speed (feet per second) that is acquired in a given second, therefore, feet per second per second. Get it?