Unit of time occurs twice in unit of acceleration, why?
mrrajatraj:
Bcuz velocity is displacement per unit time i.e., [LT-1] and acceleration is change in velocity per unit time i.e., [LT-1]/T which gives out [LT-2]
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units. Calculating acceleration involves dividing velocity by time — or in terms of units, dividing meters per second [m/s] by second [s]. Dividing distance by time twice is the same as dividing distance by the square of time. Thus the SI unit of acceleration is the meter per second squared.
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The unit of time doesn't come twice in unit of acceleration. The square(^2) is there to show how much speed is gained in each second of acceleration. For example an object falling with have an acceleration of 9.8 m/s^2. This means that with each second of the fall the object's speed will be increased by 9.8 m/s.
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