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Defined as [the change] in velocity over a period of time. Acceleration is a vector quantity and therefore is stated as a quantity with a direction. a = (v-u)/t (where a, v and u are vectors) Where (using SI units): a = acceleration of the body in metres per second per second (ms^-2, or metres per second squared) v = final velocity of the body in metres per second (ms^-1) u = initial velocity of the body in metres per second (ms^-1) t = time period between the initial and final velocity, in seconds (s) An accelerating body can also be [decelerating] (ie, negative acceleration) or be at rest. Also, [instantaneous] acceleration is a bit different.
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