Kinematics Equations (2 Problems)

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SUMMARY

The discussion centers on the relationship between negative acceleration and displacement in kinematics. It is established that negative acceleration does not necessarily imply that displacement (x) is negative; rather, displacement can be positive while an object experiences negative acceleration. A clear example provided is a ball rolling away from a person, demonstrating positive displacement despite deceleration. The distinction between negative acceleration and deceleration is emphasized, clarifying that negative acceleration refers to the direction of acceleration, not the speed of the object.

PREREQUISITES
  • Understanding of kinematic equations
  • Familiarity with concepts of acceleration and displacement
  • Basic knowledge of physics terminology
  • Ability to interpret motion graphs
NEXT STEPS
  • Study the implications of negative acceleration in different reference frames
  • Explore the concept of displacement versus velocity in kinematics
  • Learn about the effects of gravity on motion and acceleration
  • Review examples of motion with varying acceleration types
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High school physics students, educators teaching kinematics, and anyone interested in understanding the principles of motion and acceleration.

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.
 
Last edited:
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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