Let $u(t)$ be a signal defined as $u(t)=0$ for $t<mn>0</mn>$ and $u(t)=1$ for $t0.$ Find the Fourier transform of $v(t)$ defined by $v(t)=u(t+\frac{}{2})-u(t-\frac{}{2}).$ Thereafter, find the Fourier transform of $x(t)=u(t-T)$ where $T>>.$