A man is crossing a river flowing with velocity of $5 m / s$ . He reaches a point directly across at a distance of $60 m$ in $5 s e c$ . His velocity in still water should be

12 m / s

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13 m / s

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5 m / s

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10 m / s

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Solution

The correct option is B $13 m / s$
His velocity in x direction should counter the flow so as to reach the point across, i.e. $v_{x} = 5 m / s$
Velocity in y should be such that he reaches 60 m in 5 second, i.e. $v_{y} = 12 m / s$
Thus total velocity, $v = \sqrt{{v_{x}}^{2} + {v_{y}}^{2}} = 13 m / s$

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A man is crossing a river flowing with velocity of 5 m/s. He reaches a point directly across at a distance of 60 m in 5 sec. His velocity in still water should be

The correct option is B 13 m/sHis velocity in x direction should counter the flow so as to reach the point across, i.e. vx=5 m/sVelocity in y should be such that he reaches 60 m in 5 second, i.e. vy=12 m/sThus total velocity, v=√vx2+vy2=13 m/s

A man is crossing a river flowing with velocity of $5 m / s$ . He reaches a point directly across at a distance of $60 m$ in $5 s e c$ . His velocity in still water should be