For an object moving on a straight line, draw
x
®
t graphs for :
(i) When it is rest.
(ii) When it is moving with constant velocity in positive direction.
(iii) When it is moving with constant velocity in negative direction.
(iv) When it performs non-uniform motion.
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Slope of velocity time graph give acceleration of a body in that particular direction.
When graph is straight line then its acceleration is constant and when the straight line is parallel to x-axis then its acceleration is zero.
Graph parallel to y-axis is not possible.
So for variable acceleration graph will be curved in shape.
So option D is best possible answer.
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