с, а второй - с постоянным ускорением, без начальной скорости. Найдите скорость ...

November 2021 1 21 Report

Два тела начинают двигаться в одном направлении из одной и той же точки. Первый движется с одинаковой скоростью 10 м / с, а второй - с постоянным ускорением, без начальной скорости. Найдите скорость второго тела, когда оно снова достигнет первого.

Answers & Comments

РикиГдеТуман

Ответ:

20м/с

Объяснение:

Скорость первого тела $v_{1}$ = 10 м/с

Расстояние, которое он пройдет до встречи с вторым телом: $S = v_{1} *t$

Это же расстояние пройдет второе тело с ускорением a: S = $\frac{at^{2} }{2}$

Приравниваем, находим время: $\frac{at^{2} }{2} = v_{1} *t$ , $t = \frac{2v_{1} }{a}$ ;

За это время скорость, которую наберет второе тело: $v_{2} = a * t = a * \frac{2v_{1} }{a} = 2*v_{1} = 2 * 10 m/s = 20 m/s$

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