A small aircraft P P\,P moves with a constant velocity. At 09:30, P P\,P is at the point with position vector (10i−5j) km(10\mathbf{i} - 5\mathbf{j}) \text{ km}(10i−5j) km with respect to a fixed origin OOO. At 12:00, the aircraft is at the point with position vector (−5i+25j) km(-5\mathbf{i} + 25\mathbf{j}) \text{ km}(−5i+25j) km.
Find the velocity of PPP.
Find the bearing of the velocity vector.
Find an expression, in terms of ttt, for the position of PPP t t\,t hours after 09:30.
