Can anyone give me an example of a body whose velocity is increasing with time but the acceleration is zero?

Question

Our physics teacher just asked this question in class. And I'm pretty sure it is possible.Acceleration is given by the formula v-u/t.
But if the sum (v-u) is not zero then acceleration cannot be zero!
Please, I need detailed answers.Just the example won't do.

Answer 1

How the proposition stated by you can be true?

By definition and from the first principles, we have defined acceleration as rate of change of velocity.

When the velocity changes, the moving body is said to have acceleration/retardation. Acceleration/retardation of a moving body is zero if and only if the velocity of the body does not undergo any change.

The body having constant velocity and +ve acceleration will change all the principles and definitions of motion.

A moving body is said to have +ve acceleration if and only if its velocity is increasing with the passage of time and a moving body is said to have -ve acceleration i.e. retardation if and only if its velocity decreases with the passage of time.

There is only one hypothetic situation when your proposition is true and that is when the time does not pass. But the situation when the time does not pass is in itself an impossibility.

I have read somewhere that time passes slowly on bodies moving at the velocity of light. If we can define and prove a situation where time does not pass on moving bodies, your hypothesis can be true.

Answer 2

Don't worry , neither your teacher was wrong nor you misunderstood it .
Actually he meant that the velocity should change with time but on the same time acceleration should be zero.
Velocity of a body is the speed of the body moving in a specific direction.
Velocity depends on direction as well as speed. therefore if the direction changes then velocity will also change
This happens in the case of a body which undergoes circular motion but moves with uniform speed ,here the direction changes constantly but the speed remains the same since there is no change in the speed therefore acceleration is zero.eg: planets

Answer 3

This is not possible at all. If acceleration is 0 then how can the velocity of a body increase. If velocity increases then the body is accelerated.

Answer 4

Acceleration is defined as the change in velocity over time. If the velocity of a body is changing, then that body is accelerating. Period.

Perhaps you misunderstood your teacher, who asked for an example of a body whose speed was constant while it accelerates? Now that is a different story.

Answer 5

You don't make any sense!
Acceleration is the change in velocity. For the velocity to increase on time, it MUST accelerate. So it is just impossible and against the law that a body's velocity can increase and still not accelerate???????
If you mean it in the sense of using the Special Relativity/Quantum Mechanics at the atomic scale, then.............................it still isn't true.

Answer 6

i anticipate your instructor is speaking approximately primary relativity, the place the acceleration and gravity are an identical, so purely in case you think approximately that being on the face of the earth is under acceleration equals to 9.80 one, then you relatively offered it. think of a physique, perhaps a commute, flying up with an acceleration equals to 9.80 one, the sum of the two accelerations would be 0, so the physique extremely to the universe would be status nonetheless, notwithstanding all of us agree right here in the international that the commute is speeding up.

Answer 7

You are pretty sure it is possible when the formula tells you pretty surely that it is not possible? If velocity changes, there must be an acceleration, either positive or negative.

Answer 8

Consider the case of a simple pendulam. At the equilibrium point, i.e, at the midpoint. the x=0, so accelaration is zero but there the velocity is not zero, it is changing.

Answer 9

acceleration is rate of change of velocity............when vel changes i.e increases acceleration should change and it cannot be 0........

Answer 10

i dont think so but i would really like to know the answer