Kinematic Equation Rearrangement

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SUMMARY

The discussion focuses on rearranging kinematic equations to solve for specific variables. The user seeks assistance with the equations d = 1/2 (Vi + Vf) t and Vf^2 = Vi^2 + 2ad. The forum members advise using algebraic techniques to isolate the desired variable. The user is preparing for a test and requires clarity on the steps involved in these rearrangements.

PREREQUISITES
  • Understanding of basic algebraic manipulation
  • Familiarity with kinematic equations
  • Knowledge of variables: initial velocity (Vi), final velocity (Vf), acceleration (a), distance (d), and time (t)
  • Ability to apply the concept of average velocity
NEXT STEPS
  • Practice rearranging kinematic equations for different variables
  • Study the derivation of the kinematic equations
  • Learn how to apply the equations in real-world physics problems
  • Explore advanced topics in kinematics, such as projectile motion
USEFUL FOR

Students preparing for physics exams, educators teaching kinematics, and anyone seeking to improve their understanding of motion equations.

EthanG02
So to an extent, I am able to rearrange simple kinematic equations; I can solve for Vi from the equation
Vf = Vi +a x t, but I need some help with some other kinematic equations.

For my first problem, I need to solve for a variable, (whether it be Vi, Vf, or t) from d= 1/2 (Vi+Vf) t. It seems easy, I know, but I'm just confused on the steps.

For my second problem, I need to do the same, solve for a variable (d,Vi, or a,) from the equation
Vf^2 = Vi^2 + 2ad.

If I could get some help fast, that would be great! I have a test on this tomorrow, and I don't look forward to failing it.
 
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EthanG02 said:
So to an extent, I am able to rearrange simple kinematic equations; I can solve for Vi from the equation
Vf = Vi +a x t, but I need some help with some other kinematic equations.

For my first problem, I need to solve for a variable, (whether it be Vi, Vf, or t) from d= 1/2 (Vi+Vf) t. It seems easy, I know, but I'm just confused on the steps.

For my second problem, I need to do the same, solve for a variable (d,Vi, or a,) from the equation
Vf^2 = Vi^2 + 2ad.

If I could get some help fast, that would be great! I have a test on this tomorrow, and I don't look forward to failing it.
Welcome to the PF. :smile:

In your future schoolwork posts here, please use the Homework Help Template that you are provided when starting a new thread. Please do not delete it. It helps you to organize your thoughts, and helps us see what you think the Relevant Equations are.

For your questions above, start by expanding out any terms, and then you can isolate the variable you want to solve for using simple algebra. Can you try that for the two equations you've shown above?
 

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