when you ride in a train that passes a train moving in the opposite direction, the other train appears to rush past you at a greater speed than if you were watching from a parked car at a crossing.

how does the speed of your train affect your impression of the passing train's speed?

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I'd be happy to help you understand this concept! When you are riding in a train that is moving, your own motion affects your perception of the speed of objects around you. This phenomenon is known as relative motion.

When you are in a parked car at a crossing watching a passing train, both you and the train are stationary. In this case, you see the passing train moving relative to your stationary position.

However, when you are riding in a moving train and another train passes in the opposite direction, your train and the passing train are both in motion. As a result, your perception of the passing train's speed is affected by the combined velocities of both trains.

Let me explain this in terms of physics:

When two objects move relative to each other, their velocities combine. If the other train is moving towards you, and your train is also moving towards it, the velocities will add up to give the appearance of a greater relative speed. This is similar to how when you walk towards someone who is also walking towards you, it appears that you are closing the distance faster.

However, if the other train is moving in the opposite direction while your train is moving forward, the velocities will subtract from each other. In this case, the perceived relative speed between your train and the passing train will be less than if you were stationary.

So, the speed of your own train affects your impression of the passing train's speed because both your train's velocity and the passing train's velocity contribute to your perception of their relative speed.

I hope this explanation helps you understand the concept better. If you have any more questions, feel free to ask!