Acceleration Problem: Velocity Zero?

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An object can experience acceleration while having a velocity of zero at discrete moments, such as when it reaches the peak of its upward trajectory before falling back down. During this instant, the object's velocity is zero, but it is still subject to constant acceleration due to gravity. The discussion clarifies that while an object cannot have a constant velocity of zero and also have non-zero acceleration, it can be momentarily at rest while accelerating. The key point is that acceleration can exist even when velocity is instantaneously zero. Therefore, the relationship between acceleration and velocity is nuanced, particularly during transitional phases of motion.
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Is there situations when an object is accelerating but its velicoty is zero ?
 
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No, you can't have an accelerating object (acceleration <>0) with constant velocity = 0.

Now, you can have an acceleration with velocity =0 only on discrete instants:
when you throw and object upward, it will go up until it stops (velocity=0) for a tiny instant, then falls back. The acceleration of the object is not null and constant = gravity.

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starks.L said:
Is there situations when an object is accelerating but its velicoty is zero ?
Yes. for example, if you throw an object straight up, it has a constant downward acceleration, but its velocity at the top of its path is zero.
Of course, if there is acceleration, the velocity is not conatant, but is instantaneously zero.
 
If acceleration is zero (no change in velocity), and velocity is zero at one point, velocity is always zero.

If acceleration is zero (no change in velocity), and velocity is nonzero at one point, velocity is always that nonzero value.

If acceleration is a nonzero constant, the velocity is at sometime instantaneously zero.

A changing acceleration does not necessarily imply any particular velocity.
 
starks.L said:
Is there situations when an object is accelerating but its velicoty is zero ?
No. If constant velocity (implied constant direction), no change in acceleration.

That's the standard textbook answer, but Meir Achuz's sounds right to me:
Yes. for example, if you throw an object straight up, it has a constant downward acceleration, but its velocity at the top of its path is zero.
Of course, if there is acceleration, the velocity is not conatant, but is instantaneously zero.
 
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