A boat which has a speed of 5 km-hr5 km-hr is

The correct option is D 3 Here, b=boat and r=river #160; Shortest possible path would be along PQ So, velocity of boat w.r.t. river ...

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Standard IX

Physics

Distance-Time Graphs

A boat which ...

Question

A boat which has a speed of 5 km/hr is

4

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\sqrt{41}

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Solution

The correct option is D $3$
Here, $b = b o a t$ and $r = r i v e r$
Shortest possible path would be along $P Q$
So, velocity of boat w.r.t. river $= v_{b r} = \frac{w i d t h o f r i v e r}{t i m e t a k e n} = \frac{1 k m}{15 m i n} = 4 k m / h r$
From the figure, we have $v_{b}^{2} = v_{r}^{2} + v_{b r}^{2} o r v_{r} = \sqrt{v_{b}^{2} - v_{b r}^{2}} = \sqrt{5^{2} - 4^{2}} = 3 k m / h r$

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