Question

Поезд начинает движение от станции с ускорением 0,5м/с. какой путь пройдёт поезд до достижения им скорости 10м/с?

Answer 1

10:0,5=20 наверное..б..........................б...

Answer 2

Calculation of the Distance Traveled by the Train

To calculate the distance traveled by the train until it reaches a speed of 10 m/s, we can use the equations of motion. The train starts from rest and accelerates at a rate of 0.5 m/s² until it reaches a speed of 10 m/s.

The equation that relates distance, initial velocity, final velocity, and acceleration is:

\[v^2 = u^2 + 2as\]

Where: - \(v\) is the final velocity (10 m/s) - \(u\) is the initial velocity (0 m/s) - \(a\) is the acceleration (0.5 m/s²) - \(s\) is the distance traveled

We can rearrange the equation to solve for \(s\):

\[s = \frac{{v^2 - u^2}}{{2a}}\]

Substituting the given values:

\[s = \frac{{10^2 - 0^2}}{{2 \cdot 0.5}}\]

Simplifying the equation:

\[s = \frac{{100}}{{1}} = 100\]

Therefore, the train will travel a distance of 100 meters until it reaches a speed of 10 m/s.