The velocity v of a particle depends upon the time t according to the equation, v=a+bt+cd+t. Write the dimensions of  a, b, c and d.

From principle of homogeneity,[a]=[v] or [a]=LT-1 [bt]=[v] or [b]=[v][t]=LT-1[T]or,[b]=LT-2Similarly,[d]=[t]=[T]Further,[c][d+t]=[v] or [c]=[v][d+t]or, [c]=LT-1[T] or [c]=[L]