The graph is drawn in this manner because it has all points with same difference and hence it would not matter if we draw all points on the axis of position and time that is 1,2,3,……
Then also the curve of the graph obtained will be straight line.
Always remember – The curve of the graph between speed or velocity(Y-axis) and time(X-axis) represents Acceleration.
Where, a is acceleration; v is velocity; t is time.
The straight portion parallel to time axis and perpendicular to speed axis shows that in that time interval the speed was constant and acceleration was zero (0).
The rest of the straight lines of the graph shows that the acceleration is constant and uniform which means velocity will increase uniformly. Acceleration is the rate of change of velocity with respect to time(time interval in which the change of velocity took place).
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