Kinematics Equations (2 Problems)

AI Thread Summary
In kinematics, a negative acceleration does not necessarily indicate that displacement (x) is negative; it depends on the reference frame. Negative acceleration can occur while an object is still moving in a positive direction, such as a ball rolling away while slowing down. The distinction between negative acceleration and deceleration is crucial, as the former does not always imply a reduction in speed. Clarification is needed regarding what x represents, but it is likely displacement. Understanding these concepts is essential for solving kinematic problems accurately.
Johnny_07
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Homework Statement



In solving a kinematic equation for x, which has a negative acceleration, is x necessarily negative?

A classmate states that a negative acceleration always means that a moving object decelerating. Is this statement true? Explain.

Homework Equations





The Attempt at a Solution

 
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Johnny_07 said:

Homework Statement



In solving a kinematic equation for x, which has a negative acceleration, is x necessarily negative?

A classmate states that a negative acceleration always means that a moving object decelerating. Is this statement true? Explain.

Homework Equations


The Attempt at a Solution


No, depends on reference. You can say gravity has a negative acceleration in the y prime, but a falling object is accelerating. The correct term is negative acceleration, not decelerating.

Note: I could be wrong.
 
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Thanks for the help, but it's two problems in my book, and those are the exact words. So I don't know.
 
Johnny_07 said:
Thanks for the help, but it's two problems in my book, and those are the exact words. So I don't know.

For your first question, what is x? Is it displacement, velocity or what?
 
I have no idea. I believe it's displacement, if I'm not mistaken. My teacher and the textbook is really vague and not clear at all :(
 
Johnny_07 said:
I have no idea. I believe it's displacement, if I'm not mistaken. My teacher and the textbook is really vague and not clear at all :(

Haha! I know how that is...

The answer is NO. This is because x could have a positive displacement and could also have a negative acceleration (slowing down) at the same time. Example, you roll a ball on the floor. It moves away from you (positive displacement) but is also slowing down (negative acceleration).

Again, I could be wrong, I'm only in last year of high school physics.
 
Alright, I'll take that into consideration.
Thanks a lot again! :) Really helped!
 
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