If an object's position is increasing at a rate that is not equal to its velocity, then the object's acceleration is non-zero. Acceleration is defined as the rate of change of velocity.
Mathematically, acceleration (a) is the derivative of velocity (v) with respect to time (t):
a = dv/dt
When the position is increasing at a rate different from the velocity, it means that the velocity is changing, and therefore, the object is experiencing acceleration.
For example, consider an object moving in a straight line. If its position is increasing at a constant rate, it means that the object's velocity is also increasing linearly over time. In this case, the object's acceleration is non-zero and positive.
On the other hand, if the position is increasing at an increasing rate (such as in curved or circular motion), the object's velocity is changing in both magnitude and direction, indicating that the object is accelerating.
In summary, if an object's position is increasing at a rate that is not equal to its velocity, then the object is experiencing acceleration. The specific value and direction of the acceleration depend on the nature of the motion and the relationship between position, velocity, and time.