The velocity of any objetc is defined in terms of initial and final position of the object is,
[tex]v=\frac{d_f-d_i}{t}[/tex]As in the graph during the motion of object, the final position of the object is decreasing with time. Thus, the final position is always less than the initial position.
[tex]d_f-d_i<0[/tex]Thus, the value of velocity at every point is,
[tex]v<0[/tex]Hence, first option (This object never has a positive velocity) is the correct answer.