A boat moving towards east with velocity 4m/s with respect to still water and river is flowing towards north with velocity 2m/s and the wind is blowing towards north with velocity 6m/s. The direction of the flag blown over by the wind hoisted on the boat is
Asked by valavanvino1011
29th August 2018,
10:07 PM
Answered by Expert
Answer:
Let us assume +ve X-axis is towards East and +ve Y-axis is towards North.
Boat velocity = 4 m/s towards east = 4i ;
velocity of river = 2 m/s towards North = 2j ;
velocity of wind = 6 m/s towards North = 6J ;
sum of all velocity vectors = 4 i + 8 j
direction of this vector 4 i + 8 j is tan-1 (8/4) = 63º with X-axis
Hence direction of flag blown is 27º East of North
Answered by Expert
31st August 2018,
3:51 PM
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