Instantaneous Velocity statement

AI Thread Summary
Instantaneous velocity can be zero while acceleration remains non-zero, particularly in deceleration scenarios. As an object slows down, its velocity approaches zero, but it still experiences acceleration in the opposite direction. This means that at the moment the velocity reaches zero, the object can start to move backward, indicating a change in direction. The key concept is that acceleration measures the rate of change of velocity, which can occur even when the velocity itself is momentarily zero. Understanding this relationship clarifies the dynamics of motion and acceleration.
Joe26
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Homework Statement


"If instantaneous velocity = 0, it is possible to have a non-zero acceleration."

Why is this true? I'm having a hard time understanding this.


Homework Equations





The Attempt at a Solution

 
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Hey Joe! I believe that this question should not quite be in the Homework questions but I may be wrong anyway, although my answer will be just like it would if it was there. You're going to have to picture a moving body that is decelerating, which means that |a|=/= 0 and so it's speed its decreasing, meaning that the length of the velocity vector is getting smaller and smaller. At some point velocity becomes 0, and that is the point where the acceleration pushes the body to go backwards and stops it momentarily, and after that moment the body is moving backwards with increasing speed. The velocity vector now is counter to what it was before, with increasing length.
 
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