we need a chocolate bar (a twix to be exact), a packet of chips and a bottle of beer!
motion
You would use a length/distance unit, such as meters or kilometers.
I don't think there is a motion, but I think you are talking about vectors. In which case displacement is the measure of the change in position along a straight-line path.
Motion is the change in an object's position.
To completely describe the motion of an object you will need to know (1) the object's position in space and time, (2) the objects velocity, including the direction of travel, and (3) the object's acceleration, including the direction of acceleration. However, the Heisenburg Uncertainty principle states that the more accurately you measure object's position, the less information you will have about its velocity, and vica versa. The more accurately you measure an object's velocity, the less information you will have about its position.
An object is in motion if it changes position relative to a reference point. Motion is a relative quantity and is expressed in respect to the position of another object. Example: both a car and the Earth are moving (earth is revolving around the sun) but if we express the motion of the car in respect to the Earth, we say the car is moving relative to the Earth. At the same time the earth is moving relative to the sun.
Position time graph is useful only in the case of 1D motion, you can't made a x-t graph for 3D motion (try ;) ). You need extra efforts to do this because you need a time refrence. So position time graph is valuable for straight line (sometimes 2D) motion only, not for 3D.
Two objects basically, 1 changing position relative to the other from where its being observed.
If an object is in motion than its position is changing.
Motion is a change in position.
If you are staying in the same position and not moving, then your rate of motion is zero.