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As per the question:
The hydrogen balloon is flying towards east with a velocity with 12 m/s.
Now , wind velocity added = 5 m/s towards south
So, the wind will influence the velocity vector of the balloon.
To find : Final velocity vector of the balloon.
Calculation :
1. First draw the vectors available in the question.
2. 12 m/s towards east
3. 5 m/s towards south
these velocity vectors are perpendicular vectors.
Therefore, the net velocity
= √ (12^2 +5^2)
= √ (169)
= 13 m/s
The velocity vector will be at an angle of
tan -¹ (12/5) with south.
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