A train starts from rest at station A and accelerates at 0.6 m/s^2 for 60 s. Afterwards it travels with a constant velocity for 25 min. It then decelerates at 1.2 m/s^2 until it is brought to rest at station B. Determine the distance between the stations.

The distance between the station A and B will be:

Explanation:

Let's find the distance that the train traveled during 60 seconds.

We know that starts from rest (v(0)=0) and the acceleration is 0.6 m/s², so the distance will be:

Now, we need to find the distance after 25 min at a constant speed. To get it, we need to find the speed at the end of the first distance.

Then the second distance will be:

The final distance is calculated whit the decelerate value:

The final velocity is zero because it rests at station B. The initial velocity will be v(1).

Therefore, the distance between the station A and B will be:

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