5 A girl in a boat is rowing across a river, in which the water is flowing at \(0.1 \mathrm {~ms} ^ { - 1 }\). The velocity of the boat relative to the water is \(0.3 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and is perpendicular to the bank, as shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{965a176a-848c-478d-a748-80fc9dfe4399-4_314_1152_468_450}
- Find the magnitude of the resultant velocity of the boat.
- Find the acute angle between the resultant velocity and the bank.
- The width of the river is 15 metres.
- Find the time that it takes the boat to cross the river.
- Find the total distance travelled by the boat as it crosses the river.