Speed or acceleration
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Speed is a quantity that is measured in meters per second.The previous answer, velocity, is technically incorrect.Velocity is a vector, which consists of a magnitude and a direction.Example: 10 meters per second northwest.Speed, however, is a scalar, and consists solely of a magnitude.Example: 10 meters per second.
Acceleration
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).
Because if speed is measured in meters per second (m/s) and time is measured in seconds, the SI unit of acceleration is meters per second per second (m/s2). ^_^
Acceleration is not measured in meters/second. Meters/second is a unit of speed. Since acceleration is defined as change of speed divided by time, the units are meters/second/second, usually written as meters/second2.