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Final velocity minus starting velocity, divided by time it took. Ex. Speeding up you car from 40mph to 60 mph when going on to freeway. It took 2 seconds. 60mph - 20mph= 40mph/2sec =20mph 20mph is your acceleration.
Change of speed divided by time gives you average acceleration. For example, a change of 30 m/s during 5 seconds gives you 6 meters per second square - this is the average acceleration during those 5 seconds. If acceleration is constant, then this is also the acceleration at any moment during those 5 seconds. For more complicated functions (non-constant acceleration), derivates (a topic in calculus) has to be used. Specifically, the acceleration is the derivative of the velocity.
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