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To find the acceleration of the train, we can use the following formula:

acceleration = (final velocity - initial velocity) / time

Since the train starts from rest (initial velocity is 0 m/s), the formula simplifies to:

acceleration = final velocity / time

We need to find the final velocity of the train. To do that, we can use another formula:

distance = (initial velocity * time) + (0.5 * acceleration * time^2)

Given that the distance traveled by the train is 25 meters and the time is 45.50 seconds, we can rearrange the formula to solve for the final velocity:

25 = 0 + (0.5 * acceleration * 45.50^2)

Simplifying:

25 = 0.5 * acceleration * 2070.25

Dividing both sides by 0.5 * 2070.25:

acceleration = 25 / (0.5 * 2070.25)

acceleration ≈ 0.024 m/s²

Therefore, the acceleration of the train is approximately 0.024 m/s².

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