Motion with constant acceleration occurs when an object's velocity changes at a steady rate over time, resulting in a linear increase or decrease in speed. In contrast, variable acceleration involves changes in velocity that occur at non-uniform rates, leading to a more complex motion trajectory. This can result in curves rather than straight lines on a velocity-time graph, indicating that the object's acceleration is not constant. To analyze these motions, one can use equations of motion for constant acceleration, while variable acceleration often requires calculus or numerical methods for precise analysis.
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