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No, two bodies with different heights but the same weight would not necessarily fall at the same terminal velocity. The terminal velocity of a falling object depends on several factors, including the object's shape, size, weight, and the properties of the medium through which it is falling (such as air).

Assuming both bodies have the same shape and size, but different heights, they would experience the same gravitational force pulling them downward. However, as they fall, they would encounter air resistance, which acts in the opposite direction of their motion.

Air resistance depends on the velocity and surface area of the falling object. When an object initially starts falling, it accelerates due to the force of gravity. However, as it accelerates, the air resistance also increases. Eventually, the air resistance becomes equal in magnitude to the gravitational force, resulting in a net force of zero. At this point, the object reaches its terminal velocity and falls at a constant speed.

Since the bodies have different heights, they would have different amounts of time to accelerate and encounter air resistance before reaching their respective terminal velocities. Therefore, they would fall at different speeds.

It's worth noting that in the absence of air or in a vacuum, where there is no air resistance, both bodies would fall at the same rate regardless of their heights, as demonstrated by the famous "Galileo's Leaning Tower of Pisa" experiment.

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