The given figure illustrates the graph depicting the relationship between displacement (x) and time (t) for a particle moving in a straight line. Based on the intervals OA, AB, BC, and CD shown on the graph, we can determine the acceleration of the particle during each interval.
OA, AB, BC, CD
+ O + +
OA, AB, BC, CD
- O + O
OA, AB, BC, CD
+ O - +
OA, AB, BC, CD
- O - O
In region OA of the graph, where the graph bends toward the time axis, it indicates that the acceleration of the particle is negative.
In region AB, where the graph is parallel to the time axis, it signifies that the velocity is zero. Consequently, the acceleration during this interval is zero as well.
In region BC, where the graph bends toward the displacement axis, it indicates that the acceleration of the particle is positive.
Lastly, in region CD, where the graph exhibits a constant slope, it implies that the velocity is constant. As a result, the acceleration during this interval is zero.
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