Comparing Constant Velocity and Accelerated Motion

[assuc]

I want to know the comparison between a body in motion with constant velocity and accelerated motion?
Like a body when it is motion with constant velocity its velocity is constant(v =constant) and acceleration (a=0)...?
and when a body is in accelerated motion its velocity will be constant(v =constant) and acceleration is also constant (a =constant) or acceleration has some value.
Please elaborate to make me clearer as possible.!

 

[Gordianus]

You assume an accelerated object moves at constant speed. This is the contradiction that confuses you

 

[Pythagorean]

Acceleration means a change in Cartesian velocity.

 

[Doc Al]

and when a body is in accelerated motion its velocity will be constant(v =constant) and acceleration is also constant (a =constant) or acceleration has some value.

Since acceleration is the rate of change of velocity, you cannot have constant velocity with a non-zero acceleration.

 

[PJC01]

Constant velocity and accelerated motion are two types of motion that can be observed in objects. Constant velocity refers to a state in which an object is moving at a constant speed in a straight line, while accelerated motion refers to a state in which an object's speed is changing over time.

In constant velocity, the velocity of the object remains the same throughout its motion, meaning that the object is not speeding up or slowing down. This is represented by the equation v = constant, where v is the velocity and the constant value indicates that the velocity remains unchanged. In this type of motion, the object experiences zero acceleration (a = 0), meaning that there is no change in its velocity.

On the other hand, in accelerated motion, the velocity of the object changes over time. This is represented by the equation v = v0 + at, where v0 is the initial velocity, a is the acceleration, and t is the time. In this type of motion, the object experiences a non-zero acceleration, meaning that there is a change in its velocity. The acceleration can have a positive or negative value, depending on whether the object is speeding up or slowing down.

It is important to note that in both types of motion, the velocity of the object may be constant, but the difference lies in the acceleration. In constant velocity, the acceleration is zero, while in accelerated motion, the acceleration is non-zero. Additionally, in constant velocity, the object's displacement (change in position) over time will be a straight line, whereas in accelerated motion, the displacement will be a curved line.

Furthermore, the force acting on the object also differs in these two types of motion. In constant velocity, the net force on the object is zero, as there is no change in its velocity. In contrast, in accelerated motion, there is a net force acting on the object, which is responsible for the change in its velocity.

In conclusion, the main difference between constant velocity and accelerated motion lies in the presence or absence of acceleration. In constant velocity, the object has a constant velocity and zero acceleration, while in accelerated motion, the object has a changing velocity and a non-zero acceleration.