Projection Under uniform Acceleration

Question

A swimmer wishes to cross a 500-m river flowing at 5 kmh^{-1}. His speed with respect to water is 3 kmh^{-1}. The shortest possible time to cross the river is

Moderate

Solution

$\text{Shortest time}=\frac{\mathrm{d}}{\mathrm{v}}=\frac{1/2}{3}=\frac{1}{6}\mathrm{h}=10\mathrm{min}$

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