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Standard XII

Physics

Constrained Motion : Intuitive Approach

A river is fl...

Question

A river is flowing from west to east with a speed of $5 m$ ${m i n}^{- 1}$ . A man can swim in still water with a velocity $10 m$ ${m i n}^{- 1}$ . In which direction should the man swim so as to take the shortest possible path to go to the south?

30^{o}

east of south

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30^{o}

west of south

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South

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30^{o}

west of north

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Solution

The correct option is B $30^{o}$ west of south
For shortest possible path value should be in ${I I I}^{r d}$ co-ordinate
and $V sin θ = 5 m / m i n 10 sin θ = 5 θ = 30 ° w e s t t o s o u t h$

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A river is flowing from west to east with a speed of 5m min−1. A man can swim in still water with a velocity 10m min−1. In which direction should the man swim so as to take the shortest possible path to go to the south?

The correct option is B 30o west of southFor shortest possible path value should be in IIIrd co-ordinateand Vsinθ=5m/min10sinθ=5θ=30°westtosouth

A river is flowing from west to east with a speed of $5 m$ ${m i n}^{- 1}$ . A man can swim in still water with a velocity $10 m$ ${m i n}^{- 1}$ . In which direction should the man swim so as to take the shortest possible path to go to the south?

The correct option is B $30^{o}$ west of south
For shortest possible path value should be in ${I I I}^{r d}$ co-ordinate
and $V sin θ = 5 m / m i n 10 sin θ = 5 θ = 30 ° w e s t t o s o u t h$