Science

# Is it possible that a particle has zero velocity but still have a acceleration?

Only for an instant. Acceleration is a change in velocity. When the derivative of acceleration with respect to time is zero, the velocity would be zero.

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## Related Questions

Yes. It won't have zero velocity for long, but it's possible for the instantaneous velocity to be zero when the acceleration is non-zero. For example, if you throw a ball straight up, at the very top of its path it's not moving upward or downward, but it still has an acceleration, and will fall from that point starting immediately.

Yes, decreasing acceleration could still be positive, which yields an increase in velocity (speed). Velocity is the rate of change of position, and acceleration is the rate of change of velocity. As long as the acceleration is positive, then velocity is increasing. If acceleration becomes negative, then velocity is decreasing. ======================= I second that accelerated motion ! Even if the acceleration is petering out, as long as it's still more than zero, the speed can be increasing. By the way ... you can have a big solid acceleration, and it doesn't mean that the speed or the size of the velocity has to be increasing. Or even changing. But that's another story.

Zero acceleration means that the velocity doesn't change. It doesn't mean that there is no velocity.

If, for example, there's a cup on a table, it's not moving, but since the Earth rotates, it still has movement.

Yes. An object slowing down but still moving in a positive direction has a positive velocity but a negative acceleration.

Yes, but only briefly, not permanently. At an instant in time the acceleration can be non-zero while the velocity is zero. However, this would change the velocity to non-zero after any amount of time. An example of this is when you throw a ball into the air: at it's highest point, the velocity is zero (it changes from going upward to going downward, passing through zero for an instant). However the acceleration is downward the entire time.

When a ball is thrown up in the air there is a moment, when the ball reaches its maximum height, the velocity of the ball is zero, and acceleration due to gravity still exists [downwards]. If the velocity is zero, the acceleration is not necessarily zero.

Acceleration is nothing but rate of increase in velocity. If acceleration at the time is positive velocity will increase independent of acceleration in past. Suppose you are moving at 5m/s at t=0. Acceleration is 5m/s2 initially. At t = 1 your velocity will be 10m/s. If acceleration became 3m/s2, then your velocity at t = 2 will be 13m/s. Thus your velocity still increased but comparatively lesser in amount. Now if acceleration became -8m/s2, velocity at t = 3 will be 5m/s, thus velocity decrease due to negative acceleration.

Yes, it can happen. when the velocity is momentarily zero while an object is changing from moving in the positive direction motion to the negative direction; the object obviously will stop at one point, but will still have a constant acceleration.

No. A velocity indicates a speed and direction. An acceleration is a change in speed or direction.

No. Acceleration is a change of velocity and doesn't have to point in the same direction. Consider braking car: it still moves with decreasing velocity in one direction, while braking force and thus acceleration is in the opposing direction.

Yes, it is possible. When a body thrown upward (from the surface of Earth or any other planet but with velocity small enough not to overcome the gravity) and reaches its maximum elevation its velocity is zero but the acceleration is g (due to gravity).

Acceleration is the rate of change of velocity (not speed). Acceleration is the rate of change of velocity over time. Velocity is defined by speed and direction. A satellite orbiting the earth at a constant speed is still accelerating because gravity is making it travel in a circle (or ellipse) and consequently its direction and therefore its velocity is constantly changing.

Acceleration means the velocity changes. Velocity is made up of speed and a direction, so if only the direction changes, the velocity still changes, and therefore there is acceleration. The typical example is moving around in a circle.

The answer is yes and no.Acceleration is the rate of change of velocity. Velocity is speed plus direction.If an object is travelling eastward and slowing down in a straight line then its velocity is decreasing, it is still travelling eastward. However the force slowing the object is a westward force.A reducing acceleration (slowing down) is most often called a deceleration or negative acceleration. So you have a negative eastward acceleration.

No. Acceleration is defined as the rate of change of velocity. If velocity is constant, then its rate of change is zero. --------------------------------------------------------------------------- Another contributor obfuscated: If we were to get really picky with our vectors we could say that an object could have constant velocity in the x-y plane and still accelerate in the z-axis. Also a system of objects could have a net-velocity in 3-D space and still have a radial acceleration. A solar system traveling through space at constant velocity will have a radial acceleration, for each component part of the system, around the gravitational center of mass of the system.

Yes. A car that brakes is slowing down and therefore has negative acceleration, but is still moving forward a therefore has positive velocity because it cant all of a sudden stop.

No, an object with zero velocity does not necessarily have zero acceleration. The best example of this is an object that is thrown into the air. Let's look at that.The object that is lofted up is constantly accelerated by gravity. The object will have some initial velocity, and its velocity will decrease under the influence (the constant acceleration) of gravity. At some point it will "stop" in air for an instant, and the velocity of the object will be zero. But gravity has always been accelerating the object, and it will continue to do so, pulling it back down to earth. The object was accelerating at g, which is the earth's gravitational constant, even during the instant that it was not moving.Sooooo....in the above explanation, Quirkyquantummechanic appears to have successfully argued that "zero acceleration" is, in fact, a degree of acceleration, and is not the same as "no acceleration". Also, QQM indirectly pointed out that an object approaching zero velocity also approaches zero acceleration, and at the precise moment of zero velocity, the object is at zero acceleration albeit still under the influence of acceleration.Therefore, the answer to the original question is still "Yes" - an object at zero velocity does have zero acceleration.

Velocity is a vector quantity, meaning it has a size and a direction.The size is what we call "speed".But a change in direction only is still a change in the velocity.Any change in velocity ... even if only a change in direction ... is called "acceleration".

Answer #1:No. Acceleration is defined as a change in velocity, regardless of magnitude or sign.If an obect has a velocity of 0 m/s, then it's acceleration must also be 0 m/s.However, an object can have a velocity with zero acceleration if the velocity isconstant.===========================Answer #2:An object can have acceleration and still have zero velocity AT ONE INSTANT of time.When you toss a ball or a stone upward, it has constant acceleration downward,due to gravity, as soon as it leaves your hand. It proceeds upward for a while, thenstops and begins to move downward. At the very peak of the arc, at the transitionfrom upward to downward motion, its velocity is zero.Same for a pendulum at either end of every swing.

Of course, since the instantaneous velocity indicates the velocity at a certain moment in time it does not describe the change in this velocity a moment from the stated instance, which is the acceleration. Therefore, the initial velocity can be zero and still experience an acceleration since the velocity may change in the next instance. The instantaneous velocity of an object is merely the derivative of the position function, the acceleration which is the 2nd derivative of position. Therefore acceleration is first derivative of velocity, thus, the slope of the velocity function may be non zero while the function value at the given time may be zero. For instance consider a simple parabola, y = t2, as the position function, this is obvious from the non linear nature of the graph that there is an acceleration experienced. The velocity function is, by taking the derivative, v = 2t, which is a linear function, stating a constantly changing velocity. The acceleration, differential once again, is a = 2. Thus, we have found that the acceleration at every point in time the acceleration is 2. Looking at the velocity function, it is obvious that there is a zero at t = 0, while at all time the acceleration is 2. Thus, this is an example showing that a function value in a function does not describe its immediate changes from this current point to the next, thus knowing the instantaneous velocity of an object does not give any information about its acceleration unless a change in this velocity is given.

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