5. What is the horizontal resultant force on the bird? To which direction will the bird move?
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Class 11
>>Physics
>>Motion in a Plane
>>Relative Motion in 2 Dimension
>>A bird is flying due east with a velocit
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A bird is flying due east with a velocity of 4ms
−1
. The wind starts to blow with a velocity of 3ms
−1
due north. What is the magnitude of relative velocity of bird w.r.t. wind? Find out.its direction also.
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The velocity of bird with respect to wind can be given as
v
→
b.w
=
v
→
b
−
v
→
w
=
v
→
b
+(−
v
→
w
)
=4
i
^
+(−3
j
^
)(ms
−1
)
=4
i
^
−3
j
^
(ms
−1
)
∣
v
→
b.w
∣=
(4)
2
+(3)
2
=5ms
−1
Here the direction of the relative velocity of the bird is
∣tanβ∣=
4
3
⇒β=tan
−1
(
4
3
)
Hence, the relative velocity of the bird with respect to wind is 5ms
−1
and in the direction tan
−1
(
4
3
) from east toward south.