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Mark the correct statements for a particle going on a straight line
if the position and velocity have opposite sign, the particle is moving towards the origin
if the velocity is zero for a time interval, the acceleration is zero at any instant within the time interval
if the velocity and acceleration have opposite sign, the object is slowing down
All of the above
Solution
All options are correct except $C$ because, if the velocity is zero at an instant, then acceleration may not necessarily be zero at that instant.
For e.g. when an object is thrown vertically upward, at highest point velocity is zero but acceleration on it due to gravity is non-zero.
Option $D$ is correct as the derivative of velocity will be zero in case velocity is zero for a time interval,