AQA M1 2007 January — Question 5

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2007
SessionJanuary
TopicVectors Introduction & 2D

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.
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  1. Find the magnitude of the resultant velocity of the boat.
  2. Find the acute angle between the resultant velocity and the bank.
  3. The width of the river is 15 metres.
    1. Find the time that it takes the boat to cross the river.
    2. Find the total distance travelled by the boat as it crosses the river.