I have the following question in an assignment,

A particle moves along a straight line so that at timetseconds its velocity, is given by

Find the distance travelled in the first second.

Solving the equation, I got a general solution to the differential equation as:

Is it correct to assume that the initial condition would be s=0 at t=0?

I went on to solve the problem as.s = 1.132m

Can anyone check this for me and show me where I went wrong if there is a problem?