Ahhh, yes this is it! Thank you so, so much!
not sure if there is a shorthand for the unit step function but this works for me. Having checked , I think the shorthand is "theta" .
laplace transform (t-1) UnitStep (t-1)
http://www.wolframalpha.com/input/?i=laplace+transform+%28t-1%29+UnitStep+%28t-1%29
