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Moving Object, Stationary Lens

While moving ...

Question

While moving in a train we observe the nearby objects moving in opposite direction but distant object moving in same direction. Why?

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Solution

$For near by object, the image seems to move fast on retiana because angle between the object and the eye increases quickly from zero to finite value . Therefore image slips on retina and eye recovers to the that obejct is left behind . For the far off object, image moves slower because angle between object and the eye moves slowly and the retina slip is also lesser, and object seems to be within the region of field of vision hence giving the illusion that object is comimg towrds us .$

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Q. Explain this common observation clearly : If you look out of the window of a fast moving train, the nearby trees, houses etc. seem to move rapidly in a direction opposite to the trains motion, but the distant objects (hill tops, the Moon, the stars etc.)seem to be stationary. (In fact, since you are aware that you are moving, these distant objects seem to move with you).

Q. STATEMENT-1: For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the train, while the distant objects appear to be stationary.

STATEMENT-2: If the observer and the object are moving at velocities

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