O-LevelAdditional MathematicsVectors in two dimensionsOct/Nov 2013Paper 2 Q98 Marks
The diagram shows a river with parallel banks. The river is 40m wide and is flowing with a speed of 1.8 ms⁻¹. A canoe travels in a straight line from a point P on one bank to a point Q on the opposite bank 70m downstream from P. Given that the canoe takes 12s to travel from P to Q, calculate the speed of the canoe in still water and the angle to the bank that the canoe was steered. [Figure showing river with width 40m, downstream distance 70m, river flow 1.8 m s⁻¹, path from P to Q]
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