If velocity is doubled, it does not necessarily mean that acceleration will change. Velocity and acceleration are related but distinct concepts in physics.
Acceleration is defined as the rate of change of velocity over time. Mathematically, it is represented as the derivative of velocity with respect to time:
a = dv/dt
Where "a" represents acceleration, "v" represents velocity, and "t" represents time.
If the velocity of an object is doubled, it means that the object is moving twice as fast. However, acceleration depends on how velocity changes over time, not just on its magnitude. So, if the object's velocity is doubled instantaneously, without any change in the rate at which the velocity is changing, the acceleration will remain the same.
On the other hand, if the velocity is doubled over a certain time interval, it indicates that there has been a change in velocity, which could potentially lead to a change in acceleration. If the object's velocity is increasing or decreasing at a faster rate, the acceleration will change accordingly. However, it's important to note that the doubling of velocity alone does not determine whether acceleration changes or not. The specific conditions and factors affecting the object's motion need to be considered to determine the impact on acceleration.