A body moving with uniform acceleration $a$ changes its velocity from $u$ to $v$ over a time $t$. Which expression would not produce the correct displacement of the body during the time $t$?
- A$ut + \frac{1}{2}at^2$
- B$vt - \frac{1}{2}at^2$
- C$\frac{(v + u)(v - u)}{2a}$
- D$\frac{(v - u)t}{2}$