Help! This is the last problem on my math homework and we are starting a section on Fourier transforms which I understand, but we never learned Laplace transforms. My book doesn't give any examples of how do a problem similar to this one and I can't find any close solved examples on the internet. I only have to do three of these so I'm posting the one I could learn the most from:

about the only think I found on the internet is that the final value theorem is lim y(t)=lim Sy(s) which at this point doesn't help because I don' know how to do the rest of the problem.

Any steps to this problem are greatly appreciated,

Evan