The impulse on a particle due to a force acting on it during a given time interval is equal to the change in its

This is a fundamental principle in physics known as the Impulse-Momentum Theorem. Impulse (J) is defined as the product of the force (F) and the time interval (Δt) over which the force acts (J = FΔt). Momentum (p) is the product of mass (m) and velocity (v) (p = mv). The theorem states that the impulse applied to an object is equal to the change in its momentum: J = Δp = mv_f - mv_i, where v_f is the final velocity and v_i is the initial velocity.