Question

A boat is moving towards east with velocity 4m/s with respect to river water and river is flowing toward north with velocity 2m/s. The wind is blowing towards north with velocity 6m/s. The direction of the flag hoisted on the boat, blown over by the wind is, .--

Answer 1

@eliassaab @ganeshie8 @GirlByte

Answer 2

choices are
north-west
south-east
tan inverse 1/2 with east
north

Answer 3

tan inverse 1/2 with east north

Answer 4

the answer is given as north-west direction

Answer 5

u can try vector method to find the resultant...

Answer 6

tried but in vain .!

Answer 7

Just need to add the two vectors: 4 m/s East and 8 m/s North.

arctan(1/2) East of North.

Answer 8

here if i and j are taken as the unit vectors along east and north directions
then you have to fined the resultant of the vetors 2i ,2j,4j and then add them up and then simply find the direction cosine of the resultant

Answer 9

boat is moving east with respect to a river flowing north + wind is flowing north, since the flag is hoisted on the boat, it is also moving east, but influenced by the velocity of river + wind

Answer 10

yes @digitalmonk ...but @matricked the answer doesnt say .that ..ur solution doesnt involve 6m/s at all .?

Answer 11

what i came up to is the flag will fly in the direction of velocity of air with respect to boat !

Answer 12

r = river
e = earth
w = wind
b = boat

\(Vre = 2j\)
\(Vwe = 6j\)
\(Vbr = 4i\)
\(Vbe = Vbr + Vre = 4i + 2j \)

Answer 13

yes ..!