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.
204 exam-style questions on CCEA A Level Maths 4.1 Kinematics (A-level only), covering 4.1.1 Kinematics (A-level only), 4.1.2 Kinematics (A-level only), and 4.1.3 Kinematics (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.