\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
An object travels with displacement function \(s(t) = -t^2 + 3t + 4\) m, where \(t \ge 0\) is the time in seconds.
  1. Find the initial displacement of the object.
    m
  2. Find the displacement of the object at time \(t=3\) s.
    m
  3. At what time does the object reach the origin?
    s