The question is, if not a maelstrom, certainly a melange at least.
Especially noteworthy is the part where "acceleration of a body changes
at constant velocity".
Acceleration is the rate of change of velocity. If velocity is constant, then there is
no acceleration. If velocity changes at a constant rate, then acceleration is constant.
Velocity would have to change at a rate that changes, in order to have a changing
acceleration.
Now, what is it you're looking for ? A "linear or circular motion equation" ? There are
oodles of them, describing the relationship among the position, displacement, speed,
velocity, and acceleration, in one, two, or three dimensions, in rectangular, polar, and
spherical coordinates, for linear motion, and an entire separate set of equations for
circular motion.
An object in uniform circular motion undergoes constant acceleration but moves at constant "speed".Constant "velocity" means no acceleration.
Yes, a person running in a circular track at a constant speed of 7mph is an example of constant velocity and zero acceleration. While the person is changing direction, their speed remains constant, resulting in a steady velocity. Acceleration would only occur if there were a change in speed or direction.
V = constant Speed = constant Direction = constant Acceleration = 0
No. It is a matter of definition. Acceleration is defined as a change of velocity. Technically, one must distinguish between velocity and speed. Velocity is a vector and includes the information about the magnitude (speed)and direction. One can have a constant speed and an acceleration (as in circular motion) but, by definition, constant velocity means zero acceleration.
The definition of acceleration is: Any change of velocity, that is, speed or direction of motion. If an object is undergoing constant acceleration, then the definition says that its velocity must be changing.
Yes, a body can have zero velocity and still have acceleration if its speed changes directions while its magnitude remains constant. This situation occurs when an object is moving in a circular path at a constant speed. The change in direction of velocity due to the circular motion results in centripetal acceleration.
The magnitude of the velocity will be constant however the direction will be constantly changing. The acceleration will remain constant towards the centre of the circle
If your velocity is constant, then your acceleration is zero.
As you run circular laps at a constant speed, your speed remains constant, but your velocity changes because velocity is a vector quantity that includes direction. Your acceleration points towards the center of the circle, providing the centripetal force needed to keep you moving in a circular path.
Actually it isn't. In circular motion, even if you assume a constant speed (the simplest case), acceleration is towards the center. Therefore, the direction of the acceleration changes all the time - and therefore, the acceleration changes all the time.
acceleration is change in velocity.. and velocity constantly changes in circular motion, as the direction constantly changes. This constant change in velocity causes the object to accelerate.
Yes, an object can have zero velocity and nonzero acceleration. This occurs when the object is changing its direction but not its speed. For example, in circular motion, the object's velocity is constantly changing direction, leading to a nonzero acceleration even when its speed is constant.