Notatii: [tex] \vec{v_a} [/tex] – viteza absoluta, [tex] \vec{v_r} [/tex] – viteza relativa, [tex] \vec{v_t} [/tex] – viteza de transport (a avionului)
[tex] \vec{v_{a1}}=\vec{v_{r1}}+\vec{v_t}\implies v_{a1}=v_{r1}+v_{t} [/tex]
[tex] \vec{v_{a2}}=\vec{v_{r2}}+\vec{v_t}\implies v_{a2}=v_{r2}-v_{t} [/tex]
[tex] E_{c1}=\frac{1}{2}mv_{a1}^2, E_{c2}=\frac{1}{2}mv_{a2}^2\implies \frac{E_{c1}}{E_{c2}}=\left(\frac{v_{a1}}{v_{a2}}\right)^2 [/tex]
[tex] \dfrac{E_{c1}}{E_{c2}}=\left(\dfrac{v_r+v_t}{v_r-v_t}\right)^2 [/tex]
Numeric, [tex] \dfrac{E_{c1}}{E_{c2}}=\left(\dfrac{800}{400}\right)^2=4 [/tex]
