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Question 30

A small aircraft $P\,$ moves with a constant velocity. At 09:30, $P\,$ is at the point with position vector $km(10\mathbf{i} - 5\mathbf{j}) \text{ km}$ with respect to a fixed origin $O$ . At 12:00, the aircraft is at the point with position vector $km(-5\mathbf{i} + 25\mathbf{j}) \text{ km}$ .

Find the velocity of $P$ .

[2]

Find the bearing of the velocity vector.

[2]

Find an expression, in terms of $t$ , for the position of $P$ $t\,$ hours after 09:30.

[2]

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