given s(t) =1/(t+5) .. this is the position of the moving object.

Velocity?

Acceleration of the object 3 seconds after it starts moving?

take the derivative to get velocity:

s'=v(t)=d/dt (t+5)^-1=-/(t+5)^2
a=v'(t)=-2/(t+5)^3 after three seconds = -2/8^3