Most natural movements tends to follow an arched trajectory, and animation should too for greater realism. For example limbs move by rotating a joint, or a thrown object moving along a parabolic trajectory. The exception is mechanical movement, which typically moves in straight lines.
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As an object's speed or momentum increases, arcs tend to flatten out in moving ahead and broaden in turns. In baseball, a fastball would tend to move in a straighter line than other pitches; while a figure
skater moving at top speed would be unable to turn as sharply as a slower skater, and would need to cover more ground to complete the turn.
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