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CBSE Class 11-science Answered

Water current in a river from East to west has speed of 4m/s. A boat starts moving at 10m/s from South bank to reach north bank. If boat started at 30°with current, the drift of boat in crossing 40m wide river is nearly ?

Asked by arunavamitra50 | 31 Oct, 2018, 06:02: PM
Expert Answer
As shown in the figure, let the boat travel at an angle 30° with flow direction with speed v = 10 m/s.
 
Time to cross river of 40 m width = 40/(10×sin30) = 40/5 = 8 s.
 
drift in west-east direction  from starting point = (v cos30 - 4)×8 = [ 10 (√3/2) - 4 ]×8 = 37.28 m
Answered by Thiyagarajan K | 01 Nov, 2018, 04:44: AM
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