Explain Motion in 2 Dimensions

When motion occurs in two dimensions, position, displacement and distance, speed, velocity and acceleration can be described using the x-y plane.

Motion in a plane is motion in two directions so that everything happens in one plane, like the surface of your desk. In two dimensions, a position is given by a vector d which tells you the position (x, y) of the object compared to the origin ( 0, 0 ). 

A displacement vector Δd is the change in position from d₁ to d₂. If d1 is a vector from the origin to (x₁, y₁ ) and d₂ is the vector from the origin to ( x₂, y₂ ) then when an object is moved from position 1 to position 2 its displacement is 

Δd = d₂ - d₁

and the distance moved, Δs (the length of the displacement vector Δd) is  Δs = (x2-x1)² +
(y2-y1)² Velocity v is the vector showing how fast the position changes during a time interval. The length of this vector is the speed. Add in the direction and you have the velocity vector v.

V = Δd/Δt