Question

If x=at+bt^2 where x = metre and time = hour what will be the unit of b?

Answer 1

The ans is m/s^2 x=at + bt^2 Acc to principle of homogeniety, x=mtr so x=[M] and hence,bt^2 must have the same dimension. So,bt^2=M          b=[M/T^2] thus,the unit of b is m/s^2. Hope it helps.