Тело начинает свободно падать с определенной высоты. Найдите соотношение расстоя...

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Тело начинает свободно падать с определенной высоты. Найдите соотношение расстояний, пройденных за вторую и первую половину всего периода спада.

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XidQisent73

Для свободного падения из состояния покоя ( $v_0=0$ ):

$\boxed {v(t)=gt}$

$\boxed {h=\frac{v^2-v_0^2}{2g} }$

Пусть тело падало суммарно время $2t$ .

Тогда спустя время $t$ его скорость равна $v_1=gt$ .

А спустя ещё время $t$ , то есть спустя $2t$ после начала падения, его скорость равна $v_2=2gt$

Тогда за первую половину времени тело пролетело:

$h_1=\frac{(gt)^2-0}{2g} =\frac{gt^2}{2}$

За вторую половину времени:

$h_2=\frac{(2gt)^2-(gt)^2}{2g} =\frac{3gt^2}{2}$

Отсюда $\frac{h_2}{h_1} =\frac{\frac{3gt^2}{2}}{\frac{gt^2}{2}} =3$

Ответ: h₂/h₁ = 3

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10 64a69a3c1490e

337. This is the first time I (to drive) a sports car which (to seem) comfortable enough. 338. After she (to finish) her hometask

385. Everybody (to know) the Statue of Liberty (to be presented) to the USA in the 19th century by the French people.

395. The train (to arrive) at 6 p.m., so you (to be able) to catch it every day after your work.

nvent) paper? 370. The baby (to cry) last night and we (not to know) how to help it. 371. Though she (to try)

385. Everybody (to know) the Statue of Liberty (to be presented) to the USA in the 19th century by the French people. 386.

73 my mother said to me do you know when ann is coming to see us 74

reported speech 1 john asked mike if he would invite her the next day 2 he said somebody has broken

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