Changing Displacements
A motion diagram indicates the positions of the object at equally spaced times. If x1, x2, and x3 are the positions of the object at three successive times,
(x3-x2) = (x2-x1) + a Dt2,
when the acceleration is constant. Dt is time interval between adjacent positions on the motion diagram. Thus, the spacing between dots increases or decreases by the same amount each time interval. You can calculate aDt2 from the above equation, and then use that value to find the displacement to the next point:
(x4-x3) = (x3-x2) + a Dt2.
Your task is to add points to the motion diagram, using knowledge of the positions of the first three points.