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Answer :
Answer:
V=27.24 m/s
Explanation:
We need to apply the linear momentum conservation theorem:
[tex]m_1*v_{o1}+m_2*v_{o2}=m_t*v_{f}\\[/tex]
The velocity of the eagle its defined by its two components:
[tex]v_x=V*cos(\theta)\\v_y=V*sin(\theta)\\v_x=35.9*cos(61.9^o)=16.9m/s\\v_y=35.9*sin(61.9^o)=31.7m/s[/tex]
[tex]2*(16.9m/s(i)+31.66m/s(j))+17.9m/s(i)=3*v_f\\v_f=17.23m/s(i)+21.10m/s(j)[/tex]
because speed is a scalar value:
[tex]V=\sqrt{(21.10m/s)^2+(17.23)^2}\\V=27.24m/s[/tex]
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