Object moving towards or away from origin

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SUMMARY

The discussion confirms the relationship between the position function s(t) and the velocity function v(t) for an object moving along a straight line relative to the origin. When s(t) is positive, a positive v(t) indicates the object is moving away from the origin, while a negative v(t) indicates it is moving back towards the origin. Conversely, when s(t) is negative, a negative v(t) signifies movement away from the origin, and a positive v(t) indicates movement towards the origin. This establishes a clear framework for analyzing motion in one dimension.

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Object moving towards or away from "origin"

Homework Statement



I just want to confirm that I got this right:

Given a s(t) relation of an object.
The object moves along a straight line.
At some time t, s(t) will tell me if the object is to the left or to the right of the origin.

If s(t) is +:
if if v(t) is +, then it is moving away from the origin.
if v(t) is -, then it is moving back towards the origin.

If s(t) is -:
if v(t) is -, it is moving away.
if v(t) is +, it is moving towards.



Homework Equations





The Attempt at a Solution

 
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if s(t) is a straight line then yes
 

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