Kinematics Equation: Solving for t

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SUMMARY

The discussion centers on the application of the kinematics equation v² - u² = kt²/2m, which appears to be a combination of two established equations: x = x₀ + v₀t + (1/2)at² and v² = v₀² + 2aΔx. Participants express confusion regarding the validity and context of the first equation, indicating that it lacks clarity and proper derivation from the standard kinematic equations. The conversation emphasizes the importance of understanding the foundational kinematic equations for accurate application in physics problems.

PREREQUISITES
  • Understanding of kinematic equations, specifically x = x₀ + v₀t + (1/2)at²
  • Familiarity with the equation v² = v₀² + 2aΔx
  • Basic knowledge of variables in physics such as displacement, initial velocity, and acceleration
  • Ability to manipulate algebraic equations for problem-solving
NEXT STEPS
  • Study the derivation of kinematic equations from basic principles of motion
  • Learn how to apply kinematic equations in various physics problems
  • Explore the implications of each variable in the kinematic equations
  • Investigate common mistakes in applying kinematic equations and how to avoid them
USEFUL FOR

Students of physics, educators teaching kinematics, and anyone seeking to clarify the application of motion equations in problem-solving scenarios.

LoveBoy
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When we apply this equation ?
v^2-u^2=kt^2/2m
 
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LoveBoy said:
When we apply this equation ?
v^2-u^2=kt^2/2m
Not sure what that equation is supposed to be. It looks like a mash up of these two:

##x = x_0 + v_0 t + (1/2) a t^2##

##v^2 = v_0^2 + 2 a \Delta x##
 
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Doc Al said:
Not sure what that equation is supposed to be. It looks like a mash up of these two:

##x = x_0 + v_0 t + (1/2) a t^2##

##v^2 = v_0^2 + 2 a \Delta x##
Thanks !
 

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