Displacement is the net change in position of an object, calculated as the difference between the final and initial positions. It can be determined using definite integrals in calculus.
Definite Integral: A type of integral that computes the accumulation of quantities, often representing area under a curve from one point to another.
Net Change Theorem: \textit{If F'(x)=f(x)}, then \int_{a}^{b} f(x)\dx=F(b)-F(a). This theorem relates integration and differentiation by showing that integration can be used to find net changes.
Velocity Function: $v(t)$ represents how fast an object's position changes over time. The integral of $v(t)$ over an interval gives the object's displacement.