Final answer:
The magnitude of the train's acceleration is 2.86 m/s².
Step-by-step explanation:
The magnitude of the train's acceleration can be determined by using the following equation:
acceleration = (final velocity - initial velocity) / time
In this case, the train's initial velocity is 0 m/s (since it starts at rest) and its final velocity is 20.0 m/s. The time taken is 7.00 seconds. Plugging in these values into the equation, we get:
acceleration = (20.0 m/s - 0 m/s) / 7.00 s = 2.86 m/s²
Therefore, the magnitude of the train's acceleration is 2.86 m/s².