The position, velocity and acceleration of a particle moving with constant acceleration can be represented by:

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Solution

The correct option is A

Option (A) represent correct graph for particle moving with constant acceleration, as for constant acceleration velocity time graph is straight line with positive slope and x−t graph should be an opening upward parabola.
The velocity-time graph for a particle moving at constant speed should be a straight line with a positive slope.
The $x - t$ graph should be an opening upward parabola.
Therefore the acceleration is constant. that is $a =$ constant. for an acceleration-time graph.
$v α t =$ straight line graph.
$x α t^{2} =$ parabolic graph.
Hence, the correct option is A.

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