Vectors - Vector Kinematics
Vectors - Vector Kinematics
Secondary 4
At \(1800\) hours, a boat sails north-west with a speed of \(8\sqrt{2}\) km/h from point \(P\) and travels to point \(Q\) with position vector \(\begin{pmatrix} 10 \\ -12 \end{pmatrix}\) km. Find
- the velocity vector of the boat.
- the initial position vector at point \(P\) if the boat reaches point \(Q\) in \(7.5\) minutes.
- the position vector of the boat at \(9.30\) p.m.
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Answer:(a) \(\mathbf v=\begin{pmatrix}-8 \\ 8\end{pmatrix}\text{ km h}^{-1}\). (b) \(\overrightarrow{OP}=\begin{pmatrix}11 \\ -13\end{pmatrix}\text{ km}\). (c) Position vector at \(9.30\) p.m. \(=\begin{pmatrix}-17 \\ 15\end{pmatrix}\text{ km}\).
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