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Question 20

A ship $S\,$ moves with a constant velocity. At 11:00, $S\,$ is at the point with position vector $km(-4\mathbf{i} + 5\mathbf{j}) \text{ km}$ with respect to a fixed origin $O$ . At 13:00, the ship is at the point with position vector $km(8\mathbf{i} - 1\mathbf{j}) \text{ km}$ .

Find the velocity of $S$ .

[2]

Find the bearing of the velocity vector.

[2]

Find an expression, in terms of $t$ , for the position of $S$ $t\,$ hours after 11:00.

[2]

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