[In this question the unit vectors i\mathbf{i}i and j\mathbf{j}j are due east and due north respectively.]
At time t=0t = 0t=0, a particle P P\,P is at position (−2i+4j)m(-2\mathbf{i} + 4\mathbf{j})\text{m}(−2i+4j)m relative to a fixed origin, OOO.
The particle moves with velocity (4i−6j)ms−1(4\mathbf{i} - 6\mathbf{j})\text{ms}^{-1}(4i−6j)ms−1
Find the speed of PPP.
Show that P P\,P passes through the point A A\,A with position (8i−11j)m(8\mathbf{i} - 11\mathbf{j})\text{m}(8i−11j)m.
