A remote-controlled car P P\,P moves in a straight line with constant velocity. Initially P P\,P is at the point A A\,A with position vector (3i+4j) m(3\mathbf{i} + 4\mathbf{j}) \text{ m}(3i+4j) m. At time t=2t = 2t=2 seconds, P P\,P is at the point B B\,B with position vector (19i−8j) m(19\mathbf{i} - 8\mathbf{j}) \text{ m}(19i−8j) m.
Find the velocity of PPP.
When t=4.5t = 4.5t=4.5 P P\,P is at the point CCC. Find the distance ACACAC.