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A river of width 100 m is flowing with a...

A river of width 100 m is flowing with a velocity of 1.5 m/s. A man start from one end with rest relative the river. He raws with an acceleration of `2 m//s^(2)` relative to the river. If the man want to cross the river in minimum time, by how much distance (in meters) will he be drifted (flown) in the direction of river flow during the crossing.

Text Solution

Verified by Experts

The correct Answer is:
15


From A to B in y-direction
`S_(y)=u_(y)t+(1)/(2)a_(y)y_(2)rArr 100 =0+(1)/(2)(B)t^(2)`
t = 10 sec
From A to B, in x-direction
`S_(x) = u_(x)t`
`S_(x) = (1.5)xx(10)=15m`
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