Question

derive the equation S=ut+1/2at².where the symbols have their usual meanings.

Answer 1

s = ut + 1/2 at^2

Derivation:-
We know that, s = v x t

=> s = [(u+v)/2]t

=> s = [(u+u+at)/2]t

=> s = [(2u+at)/2]t

=> s = [(u + (1/2)at)]t

=> s =  ut + (1/2)at^2