Everything about Displacement Vector totally explained
In
physics,
displacement is the
vector that specifies the position of a point or a particle in reference to an origin or to a previous position. The vector directs from the reference point to the current position.
When the reference point is the origin of the chosen coordinate system, the
displacement vector is better referred to as the
position vector, which expresses position by the straight line directed from the previous position to the current position, as opposed to the
scalar quantity
distance which expresses only the length. This use of displacement vector can describe the complete motion as well as the path of the particle.
When the reference point is a previous position of the particle, the
displacement vector indicates the sense of movement by a vector directing from the previous position to the current position. This use of displacement vector is useful for defining the velocity and acceleration vectors of the particle.
By plotting the
displacement, relative to the starting point, against time on a
position vs. time graph, the average
velocity or the instantaneous velocity can be found by taking the slope of the graph or the
derivative of the graph, respectively.
In dealing with the motion of a rigid/firm body, the term
displacement may also include the rotations of the body.
Distance Traveled
If the displacement of an object is described by a vector function
» , depending on the direction the object is travelling a negative sign or positive sign is required since it's an equation of motion and is a vector quantity.
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