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

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Discussion Overview

The discussion revolves around understanding the signs of the vertical component (y) and the acceleration due to gravity (g) in kinematic equations. Participants explore how to determine when y and g should be considered positive or negative, particularly in the context of problem-solving in physics.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Mathematical reasoning

Main Points Raised

  • One participant expresses difficulty in determining when y and g should be positive or negative in kinematic equations.
  • Another participant suggests that if +y is in the same direction as gravity, then g is 9.8, and if +y is in the opposite direction, then g is -9.8.
  • A different viewpoint states that there is no definitive way to determine the signs; it is a matter of choice, although gravity is always directed towards the Earth.
  • One participant recommends studying vector algebra and calculus alongside mechanics to help clarify the confusion regarding signs.
  • Another participant notes that most textbooks would insert the minus sign when +y is opposite to gravity, implying that g would still be replaced with 9.8.
  • It is mentioned that different textbooks may handle the signs differently, suggesting that readers should consult relevant chapters and worked examples for guidance.

Areas of Agreement / Disagreement

Participants do not reach a consensus on how to determine the signs of y and g, with multiple competing views presented regarding the interpretation and application of these signs in kinematic equations.

Contextual Notes

There are limitations in the discussion regarding assumptions about coordinate systems and the definitions of positive and negative directions, which are not universally agreed upon.

bluesteels
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TL;DR
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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