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She became the first woman to be awarded this title in the great patriotic war.about the feat zoe kosmodemyanskaya already in 1944, he made the film, the monuments, written poems and named in her honor hundreds of streets.the victory in the great patriotic war - the feat and the glory of our nation. zoya a. kosmodemyanskaya ("tanya") - hero of the soviet union. zoya kosmodemyanskaya was born september 8, 1923 in the village in tambov region. in school she was very ill , but was a good student and was very fair . 31 october 1941 zoe voluntarily became a fighter. the training was very short - 4 november zoe threw in city volokolamsk.she successfully overcame all the difficulties. november 18, 1941 part of zoe received a combat mission - destroy 10 settlements.in part one of the groups went on the job and zoya.at the village golovko group zoe came under fire and collapsed.she alone burned homes.zoe was taken prisoner , over her terribly tortured by the germans, but she was brave.29 november 1941, zoya kosmodemyanskaya was hanged .  27 january 1942 about feat zoe kosmodemyanskaya was the first article in the press.

Для начала приведем скорости к системе СИ
V=54 км/ч=54000 м/3600c=15м/с
U=72 км/ч=72000 м/3600c=20м/с

квадрат расстояния между автомобилями вычисляем по формуле Пифагора
d²=(L-Vt)²+(L-Ut)²
найдем производную от d²
(d²)'=2(L-Vt)(-V)+2(L-Ut)(-U)
минимальное d² (и соответственно минимальное d) будет в момент времени t, когда (d²)'=0
2(L-Vt)(-V)+2(L-Ut)(-U)=0
V(L-Vt)+U(L-Ut)=0
VL-V²t+UL-U²t=0
L(V+U)=t(V²+U²)

t=450м *(15 м/c+20 м/c)/(15² м²/с²+20² м²/с²)=450 м/(225+400)м/с=25,2с

подставляем это значение t в формулу для d²
d²=(450м-15м/с * 25,2с)²+(450м-20м/с * 25,2с)²=8100 м²
d=90,0м