Impulse-Momentum Theorem: This theorem states that impulse is equal to the change in momentum experienced by an object during an interaction or event. The integral of a Force vs. Time graph helps calculate impulse, allowing us to apply this theorem.
Area Under Curve: In mathematics, finding the area under a curve provides valuable information about quantities represented by that curve (such as displacement or accumulated force). Similarly, integrating a Force vs. Time graph helps determine important physical quantities related to forces acting on objects.
Conservation of Momentum: Conservation of Momentum states that within a closed system where no external forces act upon it, total momentum remains constant before and after any interaction between objects occurs. Integrating a Force vs. Time graph allows us to analyze changes in momentum and verify if conservation laws are upheld during interactions between objects.