Acceleration Problem: Velocity Zero?

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Homework Help Overview

The discussion revolves around the concept of acceleration and its relationship with velocity, particularly in scenarios where an object's velocity may be zero while it is still accelerating. Participants explore various examples and interpretations of this phenomenon.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question whether it is possible for an object to be accelerating while having a velocity of zero, with examples such as throwing an object upward being discussed. Some clarify that acceleration can exist at the instant when velocity is zero.

Discussion Status

The discussion includes differing viewpoints on the relationship between acceleration and velocity. Some participants provide examples to support their claims, while others challenge these interpretations. There is no explicit consensus, but productive dialogue is ongoing.

Contextual Notes

Participants reference standard textbook answers and personal interpretations, indicating a mix of formal and informal understandings of the concepts involved.

starks.L
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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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Correct me if I am wrong.
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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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