MHB How do I find the Laplace Transform for U3(t)(t-3)^5/2?

[ineedhelpnow]

I'm working on a few problems to find Laplace transforms and I got stuck on this one.
${U}_{3}(t){(t-3)}^{5/2}$

It looks different from the other I've been doing so I don't really know how to get started

 

[MarkFL]

According to a table I have, if we are given:

$$f(t)=g(t)u(t-a)$$ where $0\le a$

then:

$$F(s)=e^{-as}\mathcal{L}\{g(t+a)\}(s)$$

Does this help?

 

[ineedhelpnow]

thank you :) i didn't notice anything of that form in my table

 

[ineedhelpnow]

So I tried to work on this problem but I can't seem to figure it out. I just have no idea what I'm doing with it.

 

[ineedhelpnow]

nervmind! got it