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A river is flowing 5m /min …

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A river is flowing 5m /min from west to east. A man on the south bank of river capable of swimming 10m /min in still water want to cross the river in shortest path. In which direction should he swim

Posted by Poona Pandv 8 years ago

CBSE > Class 11 > Physics

1 answers

Ranbir Trikha 8 years ago

---------> V river = 5m/min V man = 10 m/minsuppose width of river is x mts Case 1 if he travels due north then his resultant velocty ( due to velocity of downstream of water) acts 30 north of east and the distane to be covered to reach the other bank increses to = x/cos 30 i.e., 2x /31/2 and resultant velocity is 11.2 m/min so time taken is x / 9.7 mins Case 2 if he travels due 30 north of east then his resultant velocty ( due to velocity of downstream of water) actsdue north and the distane to be covered to reach the other bank will be x mts and resultant velocity is 8.7 m/min so time taken is x / 8.7 mins So case 1 takes least time he should travel due north(a)

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