straight-line motion: connecting position, velocity, and acceleration

A particle moves along the $x$-axis with velocity $v(t)=t^3-5t^2+6t$ for $t\ge0$. For which of the following values of $t$ is the particle at rest?

A particle moves along the $x$-axis so that its position at time $t \ge 0$ is given by $x(t) = t^3 - 6t^2 + 9t - 2$, measured in meters, where $t$ is in seconds. Which of the following describes the motion of the particle at time $t=0$?