Displacement under constant Acceleration

`a = 0.5\ m//s^2` area of triangle: `S = 1/2 times base times hight` `=>` `∆x = 1/2 times t times at` `=>`
`∆x = 1/2 at^2`
If initial velocity (`v_i`) not equals 0
`∆x = v_it +1/2 at^2`
Since `∆x = x_f - x_i` (final position - initial position) `=>` `x_f - x_i = v_it +1/2 at^2` `=>`
`x_f = x_i + v_it +1/2 at^2`