The velocity of a particle depends on  time t according to the equation v=ab+bt+cd+t . The physical quantities which are represented by a, b, c and d are in the following order

From principle of homogeneity all the terms on the right hand side must have the dimension of velocityv=bt     b=v/t     b= acceleration =LT-2 v=  ab   =LT-2aLT-1=LT-2a   a=Ld must have a dimension of time and c/t is velocity which means c must have a dimension of  distance (L)