A block of mass m is pulled from rest along a horizontal surface by a horizontal force whose magnitude is given by the equation F(t) =At + B, where A and B are constants with appropriate units. The coefficient of friction between the block and the surface is u(k). Which expression correctly represents the velocity of the block as a function of time?
(a) At²/m + Bt/m + gu(k)t
(b) At²/(2m) + Bt/m + gu(k)t
(c) At²/2m + Bt/m - gu(k)t
(d) At²/2m) - Bt/m + gu(k)t
(e) At²/m - Bt/m - gu(k)t
