How to know whether it is +,- g and +,- y in the kinematic equations?

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SUMMARY

The discussion focuses on determining the signs of the vertical coordinate (y) and gravitational acceleration (g) in kinematic equations. It is established that if the positive y-direction aligns with gravity, g is +9.8 m/s²; if it opposes gravity, g is -9.8 m/s². The conversation emphasizes the importance of context and personal choice in defining the coordinate system. Additionally, it suggests that using vector algebra and calculus can clarify these concepts and reduce confusion regarding sign conventions.

PREREQUISITES
  • Understanding of kinematic equations
  • Basic knowledge of gravitational acceleration (g = 9.8 m/s²)
  • Familiarity with vector algebra
  • Introductory calculus concepts
NEXT STEPS
  • Study the application of kinematic equations in different coordinate systems
  • Learn how to apply vector algebra in physics problems
  • Review calculus concepts relevant to motion and forces
  • Examine various physics textbooks for different approaches to sign conventions
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Students studying physics, educators teaching mechanics, and anyone seeking to clarify the application of kinematic equations and gravitational effects in problem-solving.

bluesteels
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i was doing some problem and i have a hard time figuring out when will the y be positive and negative and same with the gravity idk if it -9.8 or 9.8
i was doing some problem and i have a hard time figuring out when will the y be positive and negative and same with the gravity idk if it -9.8 or 9.8
 
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If +y has same direction with gravity, it is 9.8.
If +y has opposite direction with gravity, it is -9.8.
 
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bluesteels said:
Summary:: i was doing some problem and i have a hard time figuring out when will the y be positive and negative and same with the gravity idk if it -9.8 or 9.8

i was doing some problem and i have a hard time figuring out when will the y be positive and negative and same with the gravity idk if it -9.8 or 9.8
There's no way to figure it out. It's your choice! Gravity is always directed towards the Earth - there is no choice about that.

You can also use ##z##, rather than ##y##, for the vertical coordinate, if you want.
 
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It's a great idea to study vector algebra (and some calculus) in parallel to learning mechanics. Compared to the confusion some intro textbooks avoiding this utmost important mathematical tool for all of physics, it's a little effort, and it helps to avoid the typical confusion about signs discussed in this thread!
 
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anuttarasammyak said:
If +y has same direction with gravity, it is 9.8.
If +y has opposite direction with gravity, it is -9.8.
Most textbooks would already insert the minus sign in the latter case, so you would still replace g with 9.8.
 
bluesteels said:
Summary:: i was doing some problem and i have a hard time figuring out when will the y be positive and negative and same with the gravity idk if it -9.8 or 9.8

i was doing some problem and i have a hard time figuring out when will the y be positive and negative and same with the gravity idk if it -9.8 or 9.8
Every rextbook does it differently. You would need to look at the relevant chapters and read some of the worked examples.
 

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