Question

Скорость поезда возросла с 15 до 19 м/с на расстоянии 340м. каким ускорением и сколько времени продолжалось движение на этом участке?​

Answer 1

Дано, Решение и Ответ представлено на фотографий:

Answer 2

Calculating Acceleration and Time of Travel

To calculate the acceleration and the time of travel, we can use the following formulas:

1. Acceleration (a): - The formula for acceleration is: \[ a = \frac{{v_f - v_i}}{{t}} \] where \( v_f \) is the final velocity, \( v_i \) is the initial velocity, and \( t \) is the time.

2. Time of Travel (t): - The formula for time of travel is: \[ t = \frac{{2d}}{{v_f + v_i}} \] where \( d \) is the distance, \( v_f \) is the final velocity, and \( v_i \) is the initial velocity.

Given: - Initial velocity (\( v_i \)): 15 m/s - Final velocity (\( v_f \)): 19 m/s - Distance (\( d \)): 340 m

Calculating Acceleration:

Using the formula for acceleration: \[ a = \frac{{v_f - v_i}}{{t}} \]

We can rearrange the formula to solve for \( t \): \[ t = \frac{{v_f - v_i}}{{a}} \]

Calculating Time of Travel:

Using the formula for time of travel: \[ t = \frac{{2d}}{{v_f + v_i}} \]

Let's calculate the acceleration and the time of travel using the given values.

Solution:

1. Calculating Acceleration: - Using the given values: - \( v_i = 15 \, \text{m/s} \) - \( v_f = 19 \, \text{m/s} \) - \( d = 340 \, \text{m} \)

- Substituting the values into the formula: \[ a = \frac{{19 - 15}}{{t}} \]

- Solving for \( t \): \[ t = \frac{{19 - 15}}{{a}} \]

- The acceleration can be calculated using the given values.

2. Calculating Time of Travel: - Using the given values: - \( v_i = 15 \, \text{m/s} \) - \( v_f = 19 \, \text{m/s} \) - \( d = 340 \, \text{m} \)

- Substituting the values into the formula: \[ t = \frac{{2 \times 340}}{{19 + 15}} \]

- The time of travel can be calculated using the given values.

Let's calculate the acceleration and the time of travel using the given formulas and values.