GATE2013-4

Question

The impulse response a the system is $h(t)=t\:u(t).$ For an input $u(t-1)$, the output is

• A. $\dfrac{t^2}{2}u(t) \\$
• B. $\dfrac{t(t-1)}{2}u(t-1) \\$
• C. $\dfrac{(t-1)^2}{2}u(t-1) \\$
• D. $\dfrac{t^2-1}{2}u(t-1)$