The displacement x x\,x metres of a particle from a fixed origin after t t\,t seconds is given by x=t3−6t2+9tx=t^3-6t^2+9tx=t3−6t2+9t, where t≥0t\geq 0t≥0.
Find expressions for the velocity and acceleration of the particle.
Find the velocity of the particle when its acceleration is zero.