A drone D D\,D moves with a constant velocity. At 12:00, D D\,D is at the point with position vector (3i+4j) km(3\mathbf{i} + 4\mathbf{j}) \text{ km}(3i+4j) km with respect to a fixed origin OOO. At 13:15, the drone is at the point with position vector (8i−6j) km(8\mathbf{i} - 6\mathbf{j}) \text{ km}(8i−6j) km.
Find the velocity of DDD.
Find the bearing of the velocity vector.
Find an expression, in terms of ttt, for the position of DDD t t\,t hours after 12:00.
