A train, travelling at `20 km//hr` is approaching a platform. A bird is sitting on a pole on the platform. When the train is at a distance of 2 km from pole, breakes are applied which produce auniform deceleration in it. At that instant the bird flies towards the train at `60 km//hr` and after touching the nearest point on the train flies back to the pole and then flies towards the train and continues repeating itself. Calculate how much distance will the bird have flown before the train stops?

Explanation

To solve the problem step by step, we will break it down into manageable parts.

### Step 1: Understand the Problem
We have a train traveling at 20 km/hr that starts 2 km away from a pole. When the train is 2 km from the pole, it applies brakes and starts decelerating uniformly. At the same time, a bird, sitting on the pole, starts flying towards the train at a speed of 60 km/hr. After reaching the train, the bird flies back to the pole and continues this back-and-forth motion until the train stops.

### Step 2: Calculate the Deceleration of the Train
We need to find the deceleration of the train. We can use the equation of motion:

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