To solve this problem, we can use the following kinematic equation for acceleration:

$a = \frac{{v_f - v_i}}{t}$

Where:

• $v_f$ is the final velocity (28.7 m/s),
• $v_i$ is the initial velocity (62.3 m/s),
• $t$ is the time (6.41 s).

Now let's calculate the acceleration:

$a = \frac{{28.7 - 62.3}}{6.41}$The acceleration of the train is approximately $-5.24 \, \text{m/s}^2$. Since the train is slowing down, the acceleration is negative, indicating a deceleration.

Would you like any further clarification or more details on this problem?

Here are 5 related questions for practice:

1. How would the acceleration change if the train took longer to slow down?
2. What is the meaning of a negative acceleration in this context?
3. How would you calculate the distance the train travels while slowing down?
4. How does the time affect the final velocity if acceleration is constant?
5. How can this method be used to calculate the acceleration of a car?

Tip: In deceleration problems, the final velocity is always smaller than the initial velocity, which results in a negative acceleration value.