A car starts from the origin at t = 0. At some later time, is it possible for the car's velocity to be positive but its displacement from the origin to be zero? Explain and give an example.

  yes

Explanation:

In a simple case, the car starts with negative velocity, then stops and starts again with positive velocity. At some point, it will be back at the origin with positive velocity.

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All that is required to meet the described condition is that the area under the velocity (vs. time) curve be zero at a point where the velocity curve is greater than zero. This will require the velocity be negative at some point prior to the time of interest.

what are the statements? x

probably not if net force is zero