A body falls freely under gravity from rest and reaches the ground in time t. Write an expression for the height fallen by the body.

As we know, h = ut + gt 2 , where, g = acceleration due to gravity, t = time h = height fallen by the body. Given, u = 0 Hence, on substituting the values we get, h = (0 x t) + gt 2 = 0 + gt 2 = gt 2 Therefore, maximum height attained by the body = gt 2