Is it possible for an object to have acceleration and no velocity?

Answer 1

It's possible for an object to have velocity equals to zero at some moment and to have some acceleration (when you throw a Baseball upwards with the gravitation present, the ball reaches its maximum point and then starts to come back at its maximum height its velocity is zero while acceleration equals g).

Answer 2

At any one instant? Sure.

Suppose the motion of the object was given by the equation

x(t) = t^2 - 4t

==> instantaneous velocity = v(t) = dx/dt = 2t - 4

==> acceleration = a(t) = dv/dt = 2

so, at time t = 2, v(t) = 0, but its acceleration is a(t) = 2.

Now, if the instantaneous velocity was ALWAYS zero, the object wouldn't be moving, so of course its acceleration would also be zero.

Answer 3

Of course. Anything you toss into the air is accelerating at the rate of 9.8 meters

(32.2 feet) per second2 downward from the time it leaves your hand. That's the

acceleration of gravity on Earth. If you toss a stone or a baseball straight up, it

rises slower and slower, until it reaches the top of its toss and starts to move down.

At the very top, where the end of the rise meets the beginning of the drop, the

stone's velocity is zero for that instant, even though its acceleration is constant

from the moment it leaves your hand until it hits the ground.

Answer 4

Answer #1:

Yes. A simple case is that of an object moving in a circle at constant speed. Since the acceleration

vector points to the center of the circle, the acceleration changes all the time.

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Answer #2:

No.

-- If acceleration is variable, that means acceleration is not zero.

-- If acceleration is not zero, that means that either speed or direction is changing.

-- If speed or direction changes, then velocity is not constant.

In the example of circular motion, described in Answer #1, the speed is constant, but

the velocity is not, since the direction of motion is constantly changing.

Answer 5

If an infinite force is applied or the object has no inertia than yes. In the real world? No.

Answer 6

when it travels in different velocities in different intervals of time.

Answer 7

Yes. Changing the direction of motion is also defined as an acceleration,

even if the speed remains constant.