Formula deduction V2 = V02 + 2g(y - y0)

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SUMMARY

The discussion centers on the deduction of the kinematic equation V² = V₀² ± 2g(y - y₀). Participants clarify the equation and seek to understand the specific steps involved in deriving it. The equation relates the final velocity (V), initial velocity (V₀), gravitational acceleration (g), and the change in vertical position (y - y₀). The conversation emphasizes the importance of clear communication in mathematical problem-solving.

PREREQUISITES
  • Understanding of kinematic equations
  • Basic knowledge of algebra
  • Familiarity with gravitational acceleration (g)
  • Ability to manipulate equations
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  • Study the derivation of kinematic equations in physics
  • Learn about the role of gravitational acceleration in motion
  • Practice solving problems involving V² = V₀² ± 2g(y - y₀)
  • Explore graphical representations of motion under gravity
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Students studying physics, educators teaching kinematics, and anyone seeking to understand the principles of motion under gravity.

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I need to make the deduction of this formula V2 = V02 +- 2g(y - y0)
Could you guys help me? this is so hard for me :confused:
 
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iZnoGouD said:
I need to make the deduction of this formula V2 = V02 +- 2g(y - y0)
Could you guys help me? this is so hard for me :confused:

Welcome to PF, iZnoGouD! :smile:

Could you clarify what you mean by "making the deduction"? I'm not clear what you're being asked to do.

And, to clarify for myself, the equation is:
V^2 = V_{0}^2\pm 2g(y-y_0)

Correct?

And finally, where are you getting stuck? Can you show us your work so far?
 

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