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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
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