Constant velocity refers to a situation where an object's speed remains unchanged over time, mathematically expressed as v(t) = k (m/s), where k is a constant. In contrast, constant acceleration indicates that an object's velocity changes at a steady rate, represented by a(t) = k (m/s²), with k being a constant value. Both concepts imply no change in their respective rates, meaning the derivative of constant velocity results in zero acceleration. This distinction is often made in physics problems to clarify that an object is moving without acceleration rather than implying a lack of motion. Understanding these definitions is crucial for solving related physics problems effectively.
