The resultant velocity of the duck is ([tex]\triangle[/tex]v)= 7.5m/s
To calculate the resultant velocity of the duck we are using the formula here,
[tex]\triangle[/tex]v= V₁ - V₂
Here we are given,
V₁= Velocity of the duck flying due south for the winter = 10.0 m/s
V₂= Velocity of the wind gust out of the north = 2.5 m/s.
As they came from the opposite direction the resultant velocity will be,
[tex]\triangle[/tex]v= V₁ - V₂
Or, [tex]\triangle[/tex]v= 10-2.5
Or, [tex]\triangle[/tex]v= 7.5m/s.
From the above calculation we can conclude that, the resultant velocity of the duck is 7.5m/s.
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