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Q: Because the speed of an object can change from one instant to the next dividing the total distance covered by the time of travel given?

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The velocity of an object (v) at any particular instant is the distance covered by that object (s) divided by the time interval (t) taken to cover the distance. When the velocity is changing, the instantaneous velocity is the distance covered in a very, very short time divided by the very, very short period taken to cover it. In differential calculus, this would be denoted by v = ds/dt By definition, then, s is the integral of v with respect to time. Graphically, this is the area under the velocity-time graph.

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