Kinematic Equations - Manipulating them.

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SUMMARY

The discussion centers on manipulating the kinematic equation Vf² = Vi² + 2ad to solve for final velocity (Vf), initial velocity (Vi), acceleration (a), and displacement (d). The user initially seeks assistance in rearranging the equation to isolate these variables. The solution provided indicates that to find Vf, one must take the square root of the rearranged equation, Vf² - 2ad = Vi². The user is encouraged to apply algebraic techniques to derive values for a and d independently.

PREREQUISITES
  • Understanding of basic algebraic manipulation
  • Familiarity with kinematic equations in physics
  • Knowledge of the concepts of velocity, acceleration, and displacement
  • Ability to perform square root calculations
NEXT STEPS
  • Study the derivation of other kinematic equations
  • Practice solving for multiple variables in physics equations
  • Explore the application of kinematic equations in real-world scenarios
  • Learn about graphical representations of motion and their relation to kinematic equations
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, educators teaching algebra and physics concepts, and anyone needing to manipulate equations for problem-solving in motion analysis.

Huynher
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Hi, I'm new to this forum.

I need major help on my homework. So the kinematic equation,
Vf² = Vi² + 2ad

I need to figure out how to manipulate it so I can find Vf(final velocity), Vi(initial velocity), a(acceleration), and d(displacement).

I figured to find Vf, you just square root it, but I can't figure out how to get everything else.

Vi = ?
a = ?
d = ?

Any help will be greatly appreciated. Thanks.
 
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It's simple algebra, really...

Vf2 = Vi2 + 2ad
Vf2 - 2ad = Vi2
Then square root both sides of the equation, and voila! I'm sure you can figure out a and d for yourself...
 

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