Displacement is the net change in position of an object, calculated as the integral of velocity over a given time interval. It can be represented mathematically as $\int_{a}^{b} v(t) \ dt$.
5 Must Know Facts For Your Next Test
In calculus, displacement is found using the definite integral of a velocity function.
The limits of integration represent the time interval during which the displacement is measured.
Displacement considers direction, making it different from distance, which only considers magnitude.
If the velocity function $v(t)$ changes sign within the interval, it indicates that the object has changed direction.
The Fundamental Theorem of Calculus links differentiation and integration, helping to compute displacement from velocity.
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Related terms
Velocity: The rate of change of position with respect to time; can be integrated to find displacement.