Physics

Problem

A river is

200\,\text{m}

wide and flows due east with a speed of

3\,\text{m\,s}^{-1}

. A boat can move at

5\,\text{m\,s}^{-1}

in still water and is aimed due north (perpendicular to the banks). Which pair gives the time taken to reach the opposite bank and the downstream displacement of the boat, both measured relative to the riverbank? a)

25\,\text{s},\;75\,\text{m}

40\,\text{s},\;120\,\text{m}

33\,\text{s},\;100\,\text{m}

50\,\text{s},\;150\,\text{m}

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