Acceleration is defined as the rate of change of velocity. If an object's velocity is constant, it means that the object is moving at a steady speed in a consistent direction, without any change in its velocity.
When there is no change in velocity, it implies that the object is not experiencing any acceleration. This is because acceleration measures how much an object's velocity changes over time. If the velocity remains constant, there is no change to measure, and the acceleration is zero.
Mathematically, if we consider the equation for acceleration:
Acceleration (a) = Change in Velocity (Δv) / Change in Time (Δt)
Since the change in velocity (Δv) is zero when the velocity is constant, the numerator becomes zero. Therefore, dividing zero by any non-zero value for the change in time (Δt) will always result in an acceleration of zero.
In summary, if an object's velocity is constant, it means there is no change in velocity over time, and consequently, the object has zero acceleration.