Derive dimensionally the relation :`S=ut+1/2at^(2)`.

Derive dimensionally the relation s = ut +(1)/(2)f t^(2) .

Check the dimensional consistency of the relations : (i) S= ut+(1)/(2)at^(2) (ii) (1)/(2)mv^(2)= mgh .

Using velocity time graph, establish the relation s = ut + (1)/(2)at^(2) , where the symbols have their usual meanings.

Show dimensionally that the relation t = 2pi((I)/(g)) is incorrect, where I is length and t is time period of a simple pendulum , g is acc. Due to gravity. Find the correct form of the relation, dimensionally

Prove the relation, s_t=u + at - 1/2 a.

Derive Stokes' law dimensionally.

State the principle of homogeneity. Test the dimensional homogeneity of equations— s=ut+(1)/(2)at^(2)

Check whether the relation S = ut + (1)/(2) at^(2) is dimensionally correct or not , where symbols have their usual meaning .

Check the accuracy of the relation s = ut + (1)/(2)at^(2) where s is the distance travelled by the with uniform acceleration a in time t and having initial velocity u.