Kinematics with vectors in two dimensionsEdexcel A-Level Maths: Mind map

Exam questions on Kinematics with vectors in two dimensions

1. A particle $P$ moves in a horizontal plane with constant acceleration $(4\mathbf{i}+2\mathbf{j})$ m s$^{-2}$. At time $t=0$ its velocity is $(2\mathbf{i}-3\mathbf{j})$ m s$^{-1}$.
   Find the value of $t$ at which $P$ is moving in the direction of $\mathbf{i}$.2 marks
2. A particle $Q$ moves in a plane. Its position vector relative to a fixed origin $O$ at time $t$ seconds is $\mathbf{r}=(t^3-6t)\mathbf{i}+(4t^2-3t)\mathbf{j}$ metres, for $t\ge0$.
   Find the value of $t$ at which $Q$ is moving in the direction of $\mathbf{j}$.2 marks
3. At time $t=0$ a particle is at the point $A$ with position vector $(3\mathbf{i}-2\mathbf{j})$ m, moving with velocity $(5\mathbf{i}+2\mathbf{j})$ m s$^{-1}$. The particle moves with constant acceleration. At time $t=4$ s it is at the point $B$ with position vector $(35\mathbf{i}+14\mathbf{j})$ m.
   Find the acceleration of the particle.3 marks