Determining Time at which Displacement is Zero
A particle moving along a straight line has its displacement given by \( s(t) = t^3 – 6t^2 + 9t \), where \(t\) is measured in seconds and \(s(t)\) in meters. Determine the value of \(t\) (with \(t > 0\)) when the particle first returns to the origin (i.e., when \(s(t) = 0\)).