## Position,Displacement and Distance

A particle’s position x is the location of the particle with respect to a chosen reference point that we can consider to be the origin of a coordinate system. Example: Positions of a car Position of the car at various times Position-time graph The displacement ∆x of a particle is defined as its change in position in some time interval. As the particle moves from an initial position x_i to a final position x_f , its displacement is given by ∆x = x_f - x_i Displacement of the car from A to F: ∆x_(car) = -53 m - 30 m = -83 m Distance is the length of a path followed by a particle. Distance traveled from A to F: d_(a->f) = d_(a->b) + d_(b->f)  =(52-30) + (52-(-53)) =22 + 105 = 127 m