At $1800$ hours, a boat sails north-west with a speed of $8\sqrt{2}$ km/h from point $P$ and t

Question

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.

Accepted Answer

(a) $\begin{pmatrix} -8 \ 8 \end{pmatrix}$ (b) $\begin{pmatrix} 11 \ -13 \end{pmatrix}$ (c) $\begin{pmatrix} -17 \ 15 \end{pmatrix}$

Vectors

Vectors