# Is acceleration possible without motion ?

• string1037
In summary, the conversation discusses the concept of acceleration without motion and how it applies to a specific problem involving two particles, A and B. It is explained that while B is initially not moving, it possesses a constant acceleration which will eventually cause it to start moving. The comparison is made to throwing a ball upward or Superman pushing against a train to help understand this concept.

#### string1037

Is acceleration possible without motion ?
I ve faced this in some problems like following-
two particles A and B are at a point initially. A is moving with constant velocity 'v' while B is not moving. But B possesses a constant acceleration 'a'. After how much time they ll be at a distance 's' ?

In this problem I didn't understand how B possesses a constant acceleration if its not moving !

It just means that B is not moving initially - it's initial velocity is zero. Since it has an acceleration, it will start moving, and for all times greater than t=0, it will have a non-zero velocity.

To help you picture this, imagine throwing a ball upward. The ball has a constant acceleration downward due to gravity. At its maximum height it has a velocity of zero but the acceleration is still the same value. Or imagine Superman pushing against a train that is initially moving...eventually the train will stop and then start moving in the opposite direction if he keeps pushing.

oh. . .gotcha. . . .thnx a lot guyz. . .

I can provide an explanation for this phenomenon. Acceleration is defined as the rate of change of velocity over time. In other words, it is the change in velocity per unit of time. So, even if an object is not physically moving, it can still experience acceleration if its velocity is changing.

In the given problem, particle B may not be physically moving, but it is still experiencing a change in its velocity. This could be due to external forces acting on it, such as a force pulling it towards particle A. This change in velocity over time results in a constant acceleration for particle B.

To find the time it takes for particles A and B to be at a distance 's', we can use the equations of motion that relate distance, velocity, acceleration, and time. This will give us the time needed for particle B to reach the distance 's' while moving with a constant acceleration.

In conclusion, acceleration is possible without motion if there is a change in velocity over time. This can occur even if the object is not physically moving. As scientists, it is important to carefully consider all factors and variables in a problem before drawing conclusions.

## 1. What is acceleration?

Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude and direction.

## 2. Can an object accelerate without moving?

No, an object cannot accelerate without moving. In order for an object to accelerate, it must experience a change in velocity, which requires a change in its position or motion.

## 3. Is it possible for an object to have constant acceleration without motion?

No, constant acceleration requires a change in velocity, which requires motion. If an object is not moving, its velocity is zero and therefore there can be no change in velocity.

## 4. Can an object have acceleration in the absence of external forces?

No, according to Newton's first law of motion, an object will remain at rest or in uniform motion unless acted upon by an external force. Therefore, acceleration cannot occur without the presence of external forces.

## 5. How is acceleration related to motion?

Acceleration is directly related to motion, as it is a measure of how an object's velocity changes over time. An object can only accelerate if it is in motion, and the magnitude and direction of its acceleration are dependent on its motion.