It seems that I am on a conflict, because I have read few things, but it seems that I am rather confused now.
We have these two functions: $$ x(t)= \begin{cases} 1, \quad 0\leq t\leq 1T, \\ 0,\quad \text{else}. \end{cases} $$ and $$ h(t)= \begin{cases} t, \quad 0\leq t\leq 2T,\\ 0,\quad\text{else}. \end{cases} $$
My initial thought for the answer was this:
$x(t)=u(t)$ and for $h(t)=u(t)t$. I am sure that I am definitely doing something wrong here. Thanks for reading my question :)
p.s. I had to re upload the question due a error. Cheers