Zero Velocty is Constant Velocity?

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SUMMARY

The discussion clarifies that zero velocity is indeed a constant velocity, as defined mathematically. The participant references the equation x(t) = -5, indicating that the particle's position does not change over time, resulting in a velocity of v = 0. This aligns with the definition of constant velocity, where the derivative of velocity (denoted as ˙v) equals zero. The confusion arises from the common interpretation of "constant velocity" implying motion, which is not applicable in mathematical terms.

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RyanH42
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Homework Statement


In the Principles of Physics book chapter two in checkpoint 2 claims that If velocity of object is zero its a constant velocity.I am confused cause v=0 means there's no motion.Without motion we can't talk about constant velocity.I am confused.(The equation of object is (x=-5) and the exact question
The following equations give the position x(t) of a particle in four situations... a)x=-5
In which sitaution is the velocity v of the particle constant ?

Homework Equations

The Attempt at a Solution


I am confused.I don't know what to do
 
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The constant velocity means that \dot{v} = 0, and so v=0 automatically satisfy this relation. So, we can say the zero velocity is constant velocity.
 
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This is the difficulty of making a mathematical statement in a spoken language: it can be interpreted in the way of common phrases or implied shadings of meaning. In common speech we hear the phrase "moving with constant velocity" and think "it must be moving". This is not the case in mathematics: Zero is a perfectly good value for a constant, too.
 
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ok I understand thank you guys
 

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