Question

3. Два тела движутся навстречу друг другу одновременно. Первое тело движется равномерно ускоренно с начальной скоростью 5 м /с, а второе равномерно замедляется с начальной скоростью 15 м /с. Оба тела имеют одинаковое ускорение 1 м /с2, а расстояние между ними составляет 120м. Вычислите время, в течение которого они встретятся.​

Answer 1

Ответ:

6 с

Объяснение:

См.фото

Answer 2

Calculation of the Time of Meeting

To calculate the time it takes for the two bodies to meet, we can use the formula:

time = distance / relative velocity

In this case, the distance between the two bodies is given as 120 meters. The relative velocity is the sum of the velocities of the two bodies, as they are moving towards each other.

Let's calculate the relative velocity:

The first body is moving with a constant acceleration of 5 m/s^2 and an initial velocity of 5 m/s. The second body is moving with a constant acceleration of -15 m/s^2 (negative because it is decelerating) and an initial velocity of -15 m/s.

The relative velocity is the sum of the velocities of the two bodies:

relative velocity = (velocity of the first body) + (velocity of the second body)

relative velocity = (5 m/s) + (-15 m/s) = -10 m/s

Now, we can calculate the time it takes for the two bodies to meet:

time = distance / relative velocity

time = 120 m / (-10 m/s) = -12 s

The negative sign indicates that the two bodies meet in the opposite direction of their motion. However, time cannot be negative, so we take the absolute value of the time:

time = | -12 s | = 12 s

Therefore, the two bodies will meet in 12 seconds.