A) the particle starts with a certain velocity, but the motion is related, finally the particle stops
B) the velocity of the particle is constant throughout
C) the acceleration of the particle is constant throughout
D) the particle starts with certain velocity and then its motion is accelerated
Correct Answer: A
Solution :
The slope of \[x-t\] graph at \[t=0\] is positive i.e., initial velocity of the particle is +ve and \[x-t\] graph is concave down, so it means acceleration is negative but whether it is constant or not it can not be predicted from given information. As v and acceleration are in opposite directions, the motion is the retarded one and finally the particle stops.
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