Vectors - Vector Kinematics

At \(1000\) a.m., a boat leaves a point \(P\) with position vector \(\begin{pmatrix} -10 \\ 28 \end{pmatrix}\) km relative to an origin. The boat travels with velocity \(\begin{pmatrix} 8 \\ 4\sqrt{5} \end{pmatrix}\) km/h. Find

1. the speed of the boat.
2. the position vector of the boat at \(1245\) p.m. Write your answer in exact form.
3. the time when the boat is at the point with position vector \(\begin{pmatrix} 4 \\ 28 + 7\sqrt{5} \end{pmatrix}\) km.