The velocity of a particle is v = v0 + gt +f t2.If its position is x = 0 at t = 0, then its displacement after unit time (t - 1) is

Given that v=v0+gt+ft2or dxdt=v0+gt+ft2Integrating this expression, we get x=v0t+12gt2+13ft2+Cwhere C is integration constant.When x=0 and t = 0, C = 0∴x=v0t+12gt2+13ft2The required displacement=v0+12g+13f