Additional Mathematics 0606: RELATIVE VELOCITY Topical Past Paper Questions

In this question, i is a unit vector due east and j is a unit vector due north. Distances are measured in kilometres and time is measured in hours. Point P has position vector $ 2i+5j $ relative to an origin O. At 1300, boat A sails from point P with velocity vector $ 8i+8j $. (a…

In this question lengths are in centimetres and time, t, is in seconds. A particle P is moving in a straight line with a speed of 26 in the direction of the vector $ \begin{pmatrix} 5 \\ -12 \end{pmatrix} $. (a) Find the velocity vector of P. [2] When t = 0, P passes through a po…

In this question i is a unit vector in the positive x-direction and j is a unit vector in the positive y-direction. Time is in seconds and distances are in metres. The diagram shows the initial positions and velocities of two particles, A and B, that move in the x-y plane. Partic…