Hi

I post an answer even though you have beaten us at rugby yesterday

OK now have a look at the link

Transformée de Laplace - Wikipédia

It is in French but see the table at the end of the page

At line 2c you have the ramp whose Laplace transform is ("p" is in French and "s" in English)

I think that you have to multiply this expression by T(s)

I did not perform the whole job but :

- the first term will give -0.2

- the second term will give t

- in the third term there is 0.2 and 0.96 which are in the final solution

Therefore I think it goes in the right direction !