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

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

Find the relation s = ut + frac(1)(2)at^2

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

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.