\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A particle moves in a straight line with velocity function$$v(t) = -t^2+4t-3 \quad \text{m/s}, \quad 0 \leq t \leq 3.$$
  1. Find the first time when the particle reverses direction.
    \(t=\)
    s
  2. Hence, find the total distance travelled from 0 s to 3 s.
    distance =
    m