The gravitational force acting on the balls is different, so they won't necessarily move the same distance.
Everything falls at the same rate due to gravity. This explains why balls of different weights strike the ground simultaneously. The force acting downward is gravity, whereas the force acting upward is air resistance. The pull that is designated as tension is in that direction. As a result, the tension will point toward the string or rope and away from the mass. When a mass is hanging, the string pulls it upward, applying an upper force, which causes the tension to be on the upper side.
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