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A, B, C, D are four trees, located at the vertices of a square. Wind blows from A to B with uniform speed. The ratio of times of flight of a bird from A to B and from B to A is 'n'. At what angle should the bird fly from the direction of wind flow, in order that it starts from A and reaches C.
answer is theta = sin-(4n/(1+n)squared)
i saw the answer first we assume the velocity of bird wrt air is v and then putting v as the magnitude of velocity of bird wrt wind but are they same then for finding the relation between n ,v &u ;v+u would be velocity of bird because v=velocity of bird -velocity of wind.

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Solution

the velocity of the bird with respect to air depicts velocity of the bird with respect to wind. So v is velocity of bird with respect to wind and u is velocity of wind with respect to ground. So velocity of bird with respect to ground is velocity of bird with respect to wind + velocity of wind with respect to ground ie v+u in case A to B and v-u in case B to A.

V(bw)=Vb - Vw (relative velocity concept)
Vb= V(bw)+Vw

Vbw--> velocity of bird with respect to wind
Vb--> velocity of bird with respect to ground
Vw--> velocity of bird with respect to wind

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Similar questions

A, B, C, D are four trees, located at the vertices of a square. Wind blows from A to B with uniform speed. The ratio of times of flight of a bird from A to B and from B to A is 'n'. At what angle should the bird fly from the direction of wind flow, in order that it starts from A and reaches C.
answer is theta = sin-(4n/(1+n)squared)
How to do it

A, B, C

and

D

are four trees, located at the vertices of a square. Wind blows from

A

B

with uniform speed. The ratio of times of flight of a bird from

A

B

and from

B

A

is n. At what angle should the bird fly from the direction of wind flow, in order that it starts from

A

and (a) reaches

C

, (b) reaches

D

Q. A bird is flying due east with a velocity of

4 m s^{- 1}

. The wind starts to blow with a velocity of

3 m s^{- 1}

due north. What is the magnitude of relative velocity of bird w.r.t. wind? Find out.its direction also.

A bird is flying due east with a velocity of 4 m/s. The wind starts to blow with a velocity of 3 m/s due north. What is the magnitude of relative velocity of bird w.r.t. wind? Find out the angle it makes with the x-axis?

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