The distance travelled by an object is given by x=(at+bt2)/(c+a) where t is time and a,b,c are constants. The dimension of b and c respectively are:
- [L2T-3], [LT-1]
- [LT-2], [LT-1]
- [LT-1], [L2T1]
- [LT-1], [LT2]
The dimension of x is L. Hence, the dimension of a must be LT-1.
Dimension of c and a are the same.
Dimension of b therefore is L2T-3.