The velocity of a particle in a straight line motion is given by v=10−10t. The correct graphical representation of displacement -time  graph of motion is ( s-displacement,  t - time)

Given velocity time relation is v=10−10t.The relation between displacement and velocity v=dsdt∴ds=vdt⇒∫ds=∫vdtS=∫   vdt=∫   (10−10t)dtS=10t−10t22+cThe relation between S-t is a parabola with decreasing slope.So 4th option matches given options.Therefore, the correct answer is (D)