Physics () due tomorrow morning

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SUMMARY

The discussion focuses on deriving the kinematic equation V² = V₀² + 2a(x - x₀) from the equation x = 1/2 at² + V₀t + x₀. Participants emphasize the necessity of using an additional equation that incorporates velocity (v) to successfully manipulate the initial equation. Algebraic manipulation is highlighted as a critical skill in this process. The conversation concludes with a suggestion to solve for time (t) using the additional equation before substituting it back into the original equation.

PREREQUISITES
  • Understanding of kinematic equations
  • Proficiency in algebraic manipulation
  • Familiarity with the concepts of acceleration (a), initial velocity (V₀), and displacement (x)
  • Knowledge of the relationship between velocity and time
NEXT STEPS
  • Study the derivation of kinematic equations in physics
  • Practice algebraic manipulation techniques in physics problems
  • Learn about the relationship between velocity, acceleration, and time
  • Explore additional kinematic equations that include velocity
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators looking for effective methods to teach algebraic manipulation in physics contexts.

rakileh
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1. I have to show how i go from this: x=1/2 at2 + V0t + x0
to this: V2 = V02 + 2a(x-x0)



2. Algebraic Manipulation



3. I get here and get stumped: 2(x-x0) = at2 + V0t
 
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The equation you're starting with does not have v in it, so you can't possibly get the equation you want from it alone. You need another equation as well, one that involves v. After you've remembered what it is, use it to solve for t, then plug the result into your first equation.
 
Ok thank you! I will try that :)
 

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